Номер 18, страница 34, часть 2 - гдз по физике 9 класс учебник Генденштейн, Булатова

Авторы: Генденштейн Л. Э., Булатова А. А., Корнильев И. Н., Кошкина А. В.

Тип: Учебник

Издательство: Бином

Год издания: 2016 - 2026

Часть: 2

Цвет обложки: бирюзовый

ISBN: 978-5-9963-3062-1

Часть 2. Квантовая физика. Глава VI. Атомное ядро и ядерная энергетика. Параграф 26. Ядерные реакции. Ядерная энергетика - номер 18, страница 34.

App\Models\Task {#1024 // resources/views/models/task/default.blade.php
  #connection: "mysql"
  #table: "tasks"
  #primaryKey: "id"
  #keyType: "int"
  +incrementing: true
  #with: []
  #withCount: []
  +preventsLazyLoading: false
  #perPage: 15
  +exists: true
  +wasRecentlyCreated: false
  #escapeWhenCastingToString: false
  #attributes: array:24 [
    "id" => 1434043
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "34"
    "field_page_end" => null
    "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik/26-18"
    "field_display_title" => "18"
    "field_outside_task" => null
    "field_task_type" => Illuminate\Database\Eloquent\Collection {#331
      #items: array:1 [
        0 => App\Models\Term {#1029
          #connection: "mysql"
          #table: "terms"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
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          +preventsLazyLoading: false
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          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:6 [
            "id" => 26
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "name" => "номер"
            "field_cases" => array:6 [
              "field_accusative_case" => "номер"
              "field_creative_case" => "номером"
              "field_dative_case" => "номеру"
              "field_genitive_case" => "номера"
              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
            "field_short_name" => ""
          ]
          #original: array:6 [
            "id" => 26
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "name" => "номер"
            "field_cases" => array:6 [
              "field_accusative_case" => "номер"
              "field_creative_case" => "номером"
              "field_dative_case" => "номеру"
              "field_genitive_case" => "номера"
              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
            "field_short_name" => ""
          ]
          #changes: []
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          #visible: []
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            0 => "*"
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        }
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    }
    "field_metatags_title" => null
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    "field_description_bottom" => null
    "field_match" => null
    "breadcrumbs" => []
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1026
      #items: []
      #escapeWhenCastingToString: false
    }
    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#342
      #items: array:1 [
        0 => App\Models\Branch {#1023
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
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          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1433262
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => null
            "field_branch_order" => "2"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#333
              #items: array:1 [
                0 => App\Models\Term {#1033
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
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                  +incrementing: false
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                  #escapeWhenCastingToString: false
                  #attributes: array:7 [
                    "id" => 31
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Часть"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => "1"
                    "field_short_name" => "ч."
                  ]
                  #original: array:7 [
                    "id" => 31
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Часть"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => "1"
                    "field_short_name" => "ч."
                  ]
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            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1030
              #items: array:1 [
                0 => App\Models\Book {#1032
                  #connection: "mysql"
                  #table: "books"
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                  #attributes: array:50 [
                    "id" => 2980
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_pages_status" => null
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                      #items: array:1 [
                        0 => App\Models\Term {#1035
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                          #attributes: array:10 [
                            "id" => 6493
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Физика"
                            "field_abbreviated_name" => null
                            "field_cases" => array:6 [ …6]
                            "field_foreign_lang_name" => null
                            "field_short_name" => null
                            "field_subject_type" => "technical_subject"
                            "field_translit" => "fizika"
                          ]
                          #original: array:10 [
                            "id" => 6493
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                            "updated_at" => null
                            "name" => "Физика"
                            "field_abbreviated_name" => null
                            "field_cases" => array:6 [ …6]
                            "field_foreign_lang_name" => null
                            "field_short_name" => null
                            "field_subject_type" => "technical_subject"
                            "field_translit" => "fizika"
                          ]
                          #changes: []
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                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
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                          #relations: []
                          #touches: []
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                          #hidden: []
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                          #guarded: array:1 [
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                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1036
                      #items: array:1 [
                        0 => App\Models\Term {#1037
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
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                          #attributes: array:6 [
                            "id" => 5458
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "9"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "devjatyj"
                          ]
                          #original: array:6 [
                            "id" => 5458
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_translit" => "devjatyj"
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                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1038
                      #items: array:1 [
                        0 => App\Models\Term {#1039
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
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                          #attributes: array:6 [
                            "id" => 5208
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Бином"
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                          ]
                          #original: array:6 [
                            "id" => 5208
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Бином"
                            "field_cases" => null
                            "field_translit" => "binom"
                          ]
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                    "field_author" => Illuminate\Database\Eloquent\Collection {#1040
                      #items: array:4 [
                        0 => App\Models\Term {#1041
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                          #attributes: array:12 [
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Лев"
                            "field_patronymic" => "Элевич"
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                          ]
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                            "id" => 4104
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                            "field_foreign_lang_surname" => null
                            "field_name" => "Лев"
                            "field_patronymic" => "Элевич"
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                          ]
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                        }
                        1 => App\Models\Term {#1042
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                          #withCount: []
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_bio" => null
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                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Альбина"
                            "field_patronymic" => "Александрова"
                            "field_surname_rp" => null
                          ]
                          #original: array:12 [
                            "id" => 3936
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Булатова"
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                            "field_name" => "Альбина"
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                          ]
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                        2 => App\Models\Term {#1043
                          #connection: "mysql"
                          #table: "terms"
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                          #attributes: array:12 [
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_foreign_lang_patronymic" => null
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                            "field_name" => "Игорь"
                            "field_patronymic" => "Николаевич"
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                        }
                        3 => App\Models\Term {#1044
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                          #escapeWhenCastingToString: false
                          #attributes: array:12 [
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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
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                            "field_bio" => null
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                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Анжелика"
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                            "id" => 4758
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                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1045
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                    }
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                        0 => App\Models\Term {#1047
                          #connection: "mysql"
                          #table: "terms"
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                            "id" => 6671
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Учебник"
                            "field_book_type_foreign" => null
                            "field_cases" => array:6 [ …6]
                            "field_plural_form" => null
                            "field_short_name" => null
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                          ]
                          #original: array:10 [
                            "id" => 6671
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                            "updated_at" => null
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                    "field_country" => Illuminate\Database\Eloquent\Collection {#1048
                      #items: array:1 [
                        0 => App\Models\Term {#1049
                          #connection: "mysql"
                          #table: "terms"
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                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 9
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Россия"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "rossiya"
                          ]
                          #original: array:6 [
                            "id" => 9
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Россия"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "rossiya"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1050
                      #items: array:1 [
                        0 => App\Models\Term {#1051
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 15
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Москва"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "moskva"
                          ]
                          #original: array:6 [
                            "id" => 15
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Москва"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "moskva"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1052
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1053
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1054
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1055
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_publication_number" => null
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1056
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1057
                      #items: array:1 [
                        0 => App\Models\Term {#1058
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:12 [
                            "id" => 5395
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Орлов"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Владимир"
                            "field_patronymic" => "Алексеевич"
                            "field_surname_rp" => "Орлова"
                          ]
                          #original: array:12 [
                            "id" => 5395
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Орлов"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Владимир"
                            "field_patronymic" => "Алексеевич"
                            "field_surname_rp" => "Орлова"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2016"
                    "field_publication_year_until" => null
                    "field_part" => "1, 2"
                    "field_part_writing" => "Часть"
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное издание"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "1111"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/gendenshtejn-u/"
                    "field_isbn" => "978-5-9963-3062-1"
                    "field_cover" => array:2 [
                      0 => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052"
                      1 => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052"
                    ]
                    "field_cover_alts" => array:2 [
                      0 => ""
                      1 => ""
                    ]
                    "field_covers" => array:2 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052"
                        "alt" => ""
                        "width" => "1863"
                        "height" => "2813"
                      ]
                      1 => array:4 [
                        "path" => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052"
                        "alt" => ""
                        "width" => "1863"
                        "height" => "2809"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1059
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1060
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1061
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1062
                      #items: array:1 [
                        0 => App\Models\Term {#1063
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 6978
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "бирюзовый"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "biruzovyy"
                          ]
                          #original: array:6 [
                            "id" => 6978
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "бирюзовый"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "biruzovyy"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 380
                      "subject" => 556
                      "class_subject" => 493
                    ]
                  ]
                  #original: array:50 [
                    "id" => 2980
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1034}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1036}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1038}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1040}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1045}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1046}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1048}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1050}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1052}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1053}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1054}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1055}
                    "field_publication_number" => null
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1056}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1057}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2016"
                    "field_publication_year_until" => null
                    "field_part" => "1, 2"
                    "field_part_writing" => "Часть"
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное издание"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "1111"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/gendenshtejn-u/"
                    "field_isbn" => "978-5-9963-3062-1"
                    "field_cover" => array:2 [
                      0 => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052"
                      1 => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052"
                    ]
                    "field_cover_alts" => array:2 [
                      0 => ""
                      1 => ""
                    ]
                    "field_covers" => array:2 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/gendenshtejn-u/covers/cover1.webp?ts=1759256052"
                        "alt" => ""
                        "width" => "1863"
                        "height" => "2813"
                      ]
                      1 => array:4 [
                        "path" => "/media/fizika_09/gendenshtejn-u/covers/cover2.webp?ts=1759256052"
                        "alt" => ""
                        "width" => "1863"
                        "height" => "2809"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1059}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1060}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1061}
                    "field_url" => "/9-klass/fizika/gendenshtejn-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1062}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 380
                      "subject" => 556
                      "class_subject" => 493
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1064
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1433262
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => null
            "field_branch_order" => "2"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#333}
            "field_page_start" => "4"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1030}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1064}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1065
      #items: array:4 [
        0 => App\Models\Branch {#1023}
        1 => App\Models\Branch {#1066
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1433263
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Квантовая физика"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1067
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "4"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1068
              #items: array:1 [
                0 => App\Models\Book {#1032}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1069
              #items: array:1 [
                0 => App\Models\Branch {#1070
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1433262
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => null
                    "field_branch_order" => "2"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1071 …2}
                    "field_page_start" => "4"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1073 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1105 …2}
                  ]
                  #original: array:24 [
                    "id" => 1433262
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => null
                    "field_branch_order" => "2"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1071 …2}
                    "field_page_start" => "4"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1073 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1105 …2}
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1433263
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Квантовая физика"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1067}
            "field_page_start" => "4"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1068}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1069}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        2 => App\Models\Branch {#1106
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1433267
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Атомное ядро и ядерная энергетика"
            "field_branch_order" => "VI"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1107
              #items: array:1 [
                0 => App\Models\Term {#1108
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [
                    "id" => 29
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Глава"
                    "field_cases" => array:6 [ …6]
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                    "id" => 29
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Глава"
                    "field_cases" => array:6 [ …6]
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            "field_description_bottom" => null
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            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1109
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            }
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              #items: array:1 [
                0 => App\Models\Branch {#1111
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                  #table: "branches"
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                  #keyType: "int"
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                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1112 …2}
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                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1113 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1145 …2}
                  ]
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                    "id" => 1433263
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                    "updated_at" => null
                    "field_display_title" => "Квантовая физика"
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                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1112 …2}
                    "field_page_start" => "4"
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                    "field_description_bottom" => null
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                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1113 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1145 …2}
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                  #attributeCastCache: []
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                  +timestamps: true
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
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          ]
          #original: array:24 [
            "id" => 1433267
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Атомное ядро и ядерная энергетика"
            "field_branch_order" => "VI"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1107}
            "field_page_start" => "15"
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            0 => "*"
          ]
        }
        3 => App\Models\Branch {#1182
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1433269
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Ядерные реакции. Ядерная энергетика"
            "field_branch_order" => "26"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1183
              #items: array:1 [
                0 => App\Models\Term {#1184
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [
                    "id" => 32
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Параграф"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => null
                    "field_short_name" => "§"
                  ]
                  #original: array:7 [
                    "id" => 32
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Параграф"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => null
                    "field_short_name" => "§"
                  ]
                  #changes: []
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                    0 => "*"
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                }
              ]
              #escapeWhenCastingToString: false
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            "field_page_start" => "25"
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            "field_h1" => null
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            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1185
              #items: array:1 [
                0 => App\Models\Book {#1032}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1186
              #items: array:1 [
                0 => App\Models\Branch {#1187
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 1433267
                    "created_at" => "2026-04-10 13:58:26"
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                    "field_branch_order" => "VI"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1188 …2}
                    "field_page_start" => "15"
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                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1190 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1222 …2}
                  ]
                  #original: array:24 [
                    "id" => 1433267
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Атомное ядро и ядерная энергетика"
                    "field_branch_order" => "VI"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1188 …2}
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                    0 => "*"
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          #original: array:24 [
            "id" => 1433269
            "created_at" => "2026-04-10 13:58:26"
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            "field_branch_order" => "26"
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            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1183}
            "field_page_start" => "25"
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            "field_h1" => null
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            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1185}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1186}
          ]
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            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1294
      #items: array:2 [
        0 => App\Models\Element {#1295
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:7 [
            "id" => 1696736
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1296
              #items: array:1 [
                0 => App\Models\Edition {#1297
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
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                  #attributes: array:21 [
                    "id" => 6168
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1298 …2}
                    "field_content_type" => "free"
                    "field_content_mode" => "text, image"
                    "field_page_content_mode" => "image"
                    "field_content_text_checked" => "0"
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Автор"
                    "field_moderator" => "stas"
                    "field_edition_type" => "statement"
                    "field_root_dir" => "0-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1300 …2}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1301 …2}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1302 …2}
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 6168
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
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                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1298 …2}
                    "field_content_type" => "free"
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                    "field_content_text_checked" => "0"
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                    "field_solution_author" => "Автор"
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                    "field_edition_type" => "statement"
                    "field_root_dir" => "0-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1300 …2}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1301 …2}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1302 …2}
                    "field_content_source" => null
                  ]
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                  #touches: []
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                  #hidden: []
                  #visible: []
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                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "task" => array:2 [
              "refs" => "1434043"
              "type" => "task"
            ]
            "text" => "<p><strong>18.</strong> Найдите дефект массы ядер следующих изотопов:</p><p><strong>а)</strong> азота $\text{}_{7}^{15}\text{N}$ (масса ядра 14,99626 а.е.м.);</p><p><strong>б)</strong> лития $\text{}_{3}^{7}\text{Li}$ (масса ядра 7,01436 а.е.м.);</p><p><strong>в)</strong> гелия $\text{}_{2}^{4}\text{He}$ (масса ядра 4,00150 а.е.м.);</p><p><strong>г)</strong> алюминия $\text{}_{13}^{27}\text{Al}$ (масса ядра 26,97431 а.е.м.).</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "18-1.jpg"
                "alt" => null
                "width" => "1315"
                "height" => 477
                "path" => "/media/fizika_09/gendenshtejn-u/0-26/18-1.webp?ts=1759348361"
              ]
            ]
          ]
          #original: array:7 [
            "id" => 1696736
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1296}
            "task" => array:2 [
              "refs" => "1434043"
              "type" => "task"
            ]
            "text" => "<p><strong>18.</strong> Найдите дефект массы ядер следующих изотопов:</p><p><strong>а)</strong> азота $\text{}_{7}^{15}\text{N}$ (масса ядра 14,99626 а.е.м.);</p><p><strong>б)</strong> лития $\text{}_{3}^{7}\text{Li}$ (масса ядра 7,01436 а.е.м.);</p><p><strong>в)</strong> гелия $\text{}_{2}^{4}\text{He}$ (масса ядра 4,00150 а.е.м.);</p><p><strong>г)</strong> алюминия $\text{}_{13}^{27}\text{Al}$ (масса ядра 26,97431 а.е.м.).</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "18-1.jpg"
                "alt" => null
                "width" => "1315"
                "height" => 477
                "path" => "/media/fizika_09/gendenshtejn-u/0-26/18-1.webp?ts=1759348361"
              ]
            ]
          ]
          #changes: []
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          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
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          #touches: []
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          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Element {#1303
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:6 [
            "id" => 1780806
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1304
              #items: array:1 [
                0 => App\Models\Edition {#1305
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:21 [
                    "id" => 6515
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
                    "field_order" => "2"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1306 …2}
                    "field_content_type" => "free"
                    "field_content_mode" => "text"
                    "field_page_content_mode" => ""
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                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Gemini 2.5 Pro"
                    "field_moderator" => "tolik"
                    "field_edition_type" => "solution"
                    "field_root_dir" => "1-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1308 …2}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1309 …2}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1310 …2}
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 6515
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
                    "field_order" => "2"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1306 …2}
                    "field_content_type" => "free"
                    "field_content_mode" => "text"
                    "field_page_content_mode" => ""
                    "field_content_text_checked" => "0"
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            "text" => "<p>Дефект массы ядра ($\\Delta m$) — это разность между суммой масс нуклонов (протонов и нейтронов), из которых состоит ядро, и массой самого ядра ($m_я$).</p><p>Формула для расчета дефекта массы:</p><p>$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я$</p><p>где $\text{Z}$ — число протонов, $\text{N}$ — число нейтронов, $m_p$ — масса протона, $m_n$ — масса нейтрона.</p><p>Для расчетов используются справочные значения масс:</p><ul><li>Масса протона: $m_p \\approx 1,00728$ а.е.м.</li><li>Масса нейтрона: $m_n \\approx 1,00866$ а.е.м.</li><li>Атомная единица массы: 1 а.е.м. $\approx 1,66054 \\cdot 10^{-27}$ кг</li></ul><p>Расчеты удобнее производить в атомных единицах массы (а.е.м.), так как исходные данные приведены в этих единицах.</p><p><strong>а) азота $^{15}_{7}$N (масса ядра 14,99626 а.е.м.)</strong></p><p><strong>Дано:</strong></p><p>Масса ядра $^{15}_{7}$N: $m_я = 14,99626$ а.е.м.</p><p><strong>Перевод в СИ:</strong></p><p>$m_я = 14,99626 \\cdot 1,66054 \\cdot 10^{-27} \\text{ кг} \\approx 2,49021 \\cdot 10^{-26}$ кг.</p><p><strong>Найти:</strong></p><p>Дефект массы $\\Delta m$.</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Определим состав ядра $^{15}_{7}$N.</p><p>Число протонов $Z = 7$.</p><p>Число нейтронов $N = A - Z = 15 - 7 = 8$.</p><p><strong>2.</strong> Найдем суммарную массу нуклонов в ядре.</p><p>$Z \\cdot m_p + N \\cdot m_n = 7 \\cdot 1,00728 + 8 \\cdot 1,00866 = 7,05096 + 8,06928 = 15,12024$ а.е.м.</p><p><strong>3.</strong> Вычислим дефект массы.</p><p>$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я = 15,12024 - 14,99626 = 0,12398$ а.е.м.</p><p><strong>Ответ:</strong> 0,12398 а.е.м.</p><p><strong>б) лития $^{7}_{3}$Li (масса ядра 7,01436 а.е.м.)</strong></p><p><strong>Дано:</strong></p><p>Масса ядра $^{7}_{3}$Li: $m_я = 7,01436$ а.е.м.</p><p><strong>Перевод в СИ:</strong></p><p>$m_я = 7,01436 \\cdot 1,66054 \\cdot 10^{-27} \\text{ кг} \\approx 1,16478 \\cdot 10^{-26}$ кг.</p><p><strong>Найти:</strong></p><p>Дефект массы $\\Delta m$.</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Определим состав ядра $^{7}_{3}$Li.</p><p>Число протонов $Z = 3$.</p><p>Число нейтронов $N = A - Z = 7 - 3 = 4$.</p><p><strong>2.</strong> Найдем суммарную массу нуклонов в ядре.</p><p>$Z \\cdot m_p + N \\cdot m_n = 3 \\cdot 1,00728 + 4 \\cdot 1,00866 = 3,02184 + 4,03464 = 7,05648$ а.е.м.</p><p><strong>3.</strong> Вычислим дефект массы.</p><p>$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я = 7,05648 - 7,01436 = 0,04212$ а.е.м.</p><p><strong>Ответ:</strong> 0,04212 а.е.м.</p><p><strong>в) гелия $^{4}_{2}$He (масса ядра 4,00150 а.е.м.)</strong></p><p><strong>Дано:</strong></p><p>Масса ядра $^{4}_{2}$He: $m_я = 4,00150$ а.е.м.</p><p><strong>Перевод в СИ:</strong></p><p>$m_я = 4,00150 \\cdot 1,66054 \\cdot 10^{-27} \\text{ кг} \\approx 6,64466 \\cdot 10^{-27}$ кг.</p><p><strong>Найти:</strong></p><p>Дефект массы $\\Delta m$.</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Определим состав ядра $^{4}_{2}$He.</p><p>Число протонов $Z = 2$.</p><p>Число нейтронов $N = A - Z = 4 - 2 = 2$.</p><p><strong>2.</strong> Найдем суммарную массу нуклонов в ядре.</p><p>$Z \\cdot m_p + N \\cdot m_n = 2 \\cdot 1,00728 + 2 \\cdot 1,00866 = 2,01456 + 2,01732 = 4,03188$ а.е.м.</p><p><strong>3.</strong> Вычислим дефект массы.</p><p>$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я = 4,03188 - 4,00150 = 0,03038$ а.е.м.</p><p><strong>Ответ:</strong> 0,03038 а.е.м.</p><p><strong>г) алюминия $^{27}_{13}$Al (масса ядра 26,97431 а.е.м.)</strong></p><p><strong>Дано:</strong></p><p>Масса ядра $^{27}_{13}$Al: $m_я = 26,97431$ а.е.м.</p><p><strong>Перевод в СИ:</strong></p><p>$m_я = 26,97431 \\cdot 1,66054 \\cdot 10^{-27} \\text{ кг} \\approx 4,47920 \\cdot 10^{-26}$ кг.</p><p><strong>Найти:</strong></p><p>Дефект массы $\\Delta m$.</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Определим состав ядра $^{27}_{13}$Al.</p><p>Число протонов $Z = 13$.</p><p>Число нейтронов $N = A - Z = 27 - 13 = 14$.</p><p><strong>2.</strong> Найдем суммарную массу нуклонов в ядре.</p><p>$Z \\cdot m_p + N \\cdot m_n = 13 \\cdot 1,00728 + 14 \\cdot 1,00866 = 13,09464 + 14,12124 = 27,21588$ а.е.м.</p><p><strong>3.</strong> Вычислим дефект массы.</p><p>$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я = 27,21588 - 26,97431 = 0,24157$ а.е.м.</p><p><strong>Ответ:</strong> 0,24157 а.е.м.</p>"
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            "text" => "<p>Дефект массы ядра ($\\Delta m$) — это разность между суммой масс нуклонов (протонов и нейтронов), из которых состоит ядро, и массой самого ядра ($m_я$).</p><p>Формула для расчета дефекта массы:</p><p>$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я$</p><p>где $\text{Z}$ — число протонов, $\text{N}$ — число нейтронов, $m_p$ — масса протона, $m_n$ — масса нейтрона.</p><p>Для расчетов используются справочные значения масс:</p><ul><li>Масса протона: $m_p \\approx 1,00728$ а.е.м.</li><li>Масса нейтрона: $m_n \\approx 1,00866$ а.е.м.</li><li>Атомная единица массы: 1 а.е.м. $\approx 1,66054 \\cdot 10^{-27}$ кг</li></ul><p>Расчеты удобнее производить в атомных единицах массы (а.е.м.), так как исходные данные приведены в этих единицах.</p><p><strong>а) азота $^{15}_{7}$N (масса ядра 14,99626 а.е.м.)</strong></p><p><strong>Дано:</strong></p><p>Масса ядра $^{15}_{7}$N: $m_я = 14,99626$ а.е.м.</p><p><strong>Перевод в СИ:</strong></p><p>$m_я = 14,99626 \\cdot 1,66054 \\cdot 10^{-27} \\text{ кг} \\approx 2,49021 \\cdot 10^{-26}$ кг.</p><p><strong>Найти:</strong></p><p>Дефект массы $\\Delta m$.</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Определим состав ядра $^{15}_{7}$N.</p><p>Число протонов $Z = 7$.</p><p>Число нейтронов $N = A - Z = 15 - 7 = 8$.</p><p><strong>2.</strong> Найдем суммарную массу нуклонов в ядре.</p><p>$Z \\cdot m_p + N \\cdot m_n = 7 \\cdot 1,00728 + 8 \\cdot 1,00866 = 7,05096 + 8,06928 = 15,12024$ а.е.м.</p><p><strong>3.</strong> Вычислим дефект массы.</p><p>$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я = 15,12024 - 14,99626 = 0,12398$ а.е.м.</p><p><strong>Ответ:</strong> 0,12398 а.е.м.</p><p><strong>б) лития $^{7}_{3}$Li (масса ядра 7,01436 а.е.м.)</strong></p><p><strong>Дано:</strong></p><p>Масса ядра $^{7}_{3}$Li: $m_я = 7,01436$ а.е.м.</p><p><strong>Перевод в СИ:</strong></p><p>$m_я = 7,01436 \\cdot 1,66054 \\cdot 10^{-27} \\text{ кг} \\approx 1,16478 \\cdot 10^{-26}$ кг.</p><p><strong>Найти:</strong></p><p>Дефект массы $\\Delta m$.</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Определим состав ядра $^{7}_{3}$Li.</p><p>Число протонов $Z = 3$.</p><p>Число нейтронов $N = A - Z = 7 - 3 = 4$.</p><p><strong>2.</strong> Найдем суммарную массу нуклонов в ядре.</p><p>$Z \\cdot m_p + N \\cdot m_n = 3 \\cdot 1,00728 + 4 \\cdot 1,00866 = 3,02184 + 4,03464 = 7,05648$ а.е.м.</p><p><strong>3.</strong> Вычислим дефект массы.</p><p>$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я = 7,05648 - 7,01436 = 0,04212$ а.е.м.</p><p><strong>Ответ:</strong> 0,04212 а.е.м.</p><p><strong>в) гелия $^{4}_{2}$He (масса ядра 4,00150 а.е.м.)</strong></p><p><strong>Дано:</strong></p><p>Масса ядра $^{4}_{2}$He: $m_я = 4,00150$ а.е.м.</p><p><strong>Перевод в СИ:</strong></p><p>$m_я = 4,00150 \\cdot 1,66054 \\cdot 10^{-27} \\text{ кг} \\approx 6,64466 \\cdot 10^{-27}$ кг.</p><p><strong>Найти:</strong></p><p>Дефект массы $\\Delta m$.</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Определим состав ядра $^{4}_{2}$He.</p><p>Число протонов $Z = 2$.</p><p>Число нейтронов $N = A - Z = 4 - 2 = 2$.</p><p><strong>2.</strong> Найдем суммарную массу нуклонов в ядре.</p><p>$Z \\cdot m_p + N \\cdot m_n = 2 \\cdot 1,00728 + 2 \\cdot 1,00866 = 2,01456 + 2,01732 = 4,03188$ а.е.м.</p><p><strong>3.</strong> Вычислим дефект массы.</p><p>$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я = 4,03188 - 4,00150 = 0,03038$ а.е.м.</p><p><strong>Ответ:</strong> 0,03038 а.е.м.</p><p><strong>г) алюминия $^{27}_{13}$Al (масса ядра 26,97431 а.е.м.)</strong></p><p><strong>Дано:</strong></p><p>Масса ядра $^{27}_{13}$Al: $m_я = 26,97431$ а.е.м.</p><p><strong>Перевод в СИ:</strong></p><p>$m_я = 26,97431 \\cdot 1,66054 \\cdot 10^{-27} \\text{ кг} \\approx 4,47920 \\cdot 10^{-26}$ кг.</p><p><strong>Найти:</strong></p><p>Дефект массы $\\Delta m$.</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Определим состав ядра $^{27}_{13}$Al.</p><p>Число протонов $Z = 13$.</p><p>Число нейтронов $N = A - Z = 27 - 13 = 14$.</p><p><strong>2.</strong> Найдем суммарную массу нуклонов в ядре.</p><p>$Z \\cdot m_p + N \\cdot m_n = 13 \\cdot 1,00728 + 14 \\cdot 1,00866 = 13,09464 + 14,12124 = 27,21588$ а.е.м.</p><p><strong>3.</strong> Вычислим дефект массы.</p><p>$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я = 27,21588 - 26,97431 = 0,24157$ а.е.м.</p><p><strong>Ответ:</strong> 0,24157 а.е.м.</p>"
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№18 (с. 34)
Условие. №18 (с. 34)
скриншот условия
Физика, 9 класс Учебник, авторы: Генденштейн Лев Элевич, Булатова Альбина Александрова, Корнильев Игорь Николаевич, Кошкина Анжелика Васильевна, издательство Бином, Москва, 2016, бирюзового цвета, Часть 2, страница 34, номер 18, Условие

18. Найдите дефект массы ядер следующих изотопов:

а) азота $\text{}_{7}^{15}\text{N}$ (масса ядра 14,99626 а.е.м.);

б) лития $\text{}_{3}^{7}\text{Li}$ (масса ядра 7,01436 а.е.м.);

в) гелия $\text{}_{2}^{4}\text{He}$ (масса ядра 4,00150 а.е.м.);

г) алюминия $\text{}_{13}^{27}\text{Al}$ (масса ядра 26,97431 а.е.м.).

Решение. №18 (с. 34)

Дефект массы ядра ($\\Delta m$) — это разность между суммой масс нуклонов (протонов и нейтронов), из которых состоит ядро, и массой самого ядра ($m_я$).

Формула для расчета дефекта массы:

$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я$

где $\text{Z}$ — число протонов, $\text{N}$ — число нейтронов, $m_p$ — масса протона, $m_n$ — масса нейтрона.

Для расчетов используются справочные значения масс:

  • Масса протона: $m_p \\approx 1,00728$ а.е.м.
  • Масса нейтрона: $m_n \\approx 1,00866$ а.е.м.
  • Атомная единица массы: 1 а.е.м. $\approx 1,66054 \\cdot 10^{-27}$ кг

Расчеты удобнее производить в атомных единицах массы (а.е.м.), так как исходные данные приведены в этих единицах.

а) азота $^{15}_{7}$N (масса ядра 14,99626 а.е.м.)

Дано:

Масса ядра $^{15}_{7}$N: $m_я = 14,99626$ а.е.м.

Перевод в СИ:

$m_я = 14,99626 \\cdot 1,66054 \\cdot 10^{-27} \\text{ кг} \\approx 2,49021 \\cdot 10^{-26}$ кг.

Найти:

Дефект массы $\\Delta m$.

Решение:

1. Определим состав ядра $^{15}_{7}$N.

Число протонов $Z = 7$.

Число нейтронов $N = A - Z = 15 - 7 = 8$.

2. Найдем суммарную массу нуклонов в ядре.

$Z \\cdot m_p + N \\cdot m_n = 7 \\cdot 1,00728 + 8 \\cdot 1,00866 = 7,05096 + 8,06928 = 15,12024$ а.е.м.

3. Вычислим дефект массы.

$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я = 15,12024 - 14,99626 = 0,12398$ а.е.м.

Ответ: 0,12398 а.е.м.

б) лития $^{7}_{3}$Li (масса ядра 7,01436 а.е.м.)

Дано:

Масса ядра $^{7}_{3}$Li: $m_я = 7,01436$ а.е.м.

Перевод в СИ:

$m_я = 7,01436 \\cdot 1,66054 \\cdot 10^{-27} \\text{ кг} \\approx 1,16478 \\cdot 10^{-26}$ кг.

Найти:

Дефект массы $\\Delta m$.

Решение:

1. Определим состав ядра $^{7}_{3}$Li.

Число протонов $Z = 3$.

Число нейтронов $N = A - Z = 7 - 3 = 4$.

2. Найдем суммарную массу нуклонов в ядре.

$Z \\cdot m_p + N \\cdot m_n = 3 \\cdot 1,00728 + 4 \\cdot 1,00866 = 3,02184 + 4,03464 = 7,05648$ а.е.м.

3. Вычислим дефект массы.

$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я = 7,05648 - 7,01436 = 0,04212$ а.е.м.

Ответ: 0,04212 а.е.м.

в) гелия $^{4}_{2}$He (масса ядра 4,00150 а.е.м.)

Дано:

Масса ядра $^{4}_{2}$He: $m_я = 4,00150$ а.е.м.

Перевод в СИ:

$m_я = 4,00150 \\cdot 1,66054 \\cdot 10^{-27} \\text{ кг} \\approx 6,64466 \\cdot 10^{-27}$ кг.

Найти:

Дефект массы $\\Delta m$.

Решение:

1. Определим состав ядра $^{4}_{2}$He.

Число протонов $Z = 2$.

Число нейтронов $N = A - Z = 4 - 2 = 2$.

2. Найдем суммарную массу нуклонов в ядре.

$Z \\cdot m_p + N \\cdot m_n = 2 \\cdot 1,00728 + 2 \\cdot 1,00866 = 2,01456 + 2,01732 = 4,03188$ а.е.м.

3. Вычислим дефект массы.

$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я = 4,03188 - 4,00150 = 0,03038$ а.е.м.

Ответ: 0,03038 а.е.м.

г) алюминия $^{27}_{13}$Al (масса ядра 26,97431 а.е.м.)

Дано:

Масса ядра $^{27}_{13}$Al: $m_я = 26,97431$ а.е.м.

Перевод в СИ:

$m_я = 26,97431 \\cdot 1,66054 \\cdot 10^{-27} \\text{ кг} \\approx 4,47920 \\cdot 10^{-26}$ кг.

Найти:

Дефект массы $\\Delta m$.

Решение:

1. Определим состав ядра $^{27}_{13}$Al.

Число протонов $Z = 13$.

Число нейтронов $N = A - Z = 27 - 13 = 14$.

2. Найдем суммарную массу нуклонов в ядре.

$Z \\cdot m_p + N \\cdot m_n = 13 \\cdot 1,00728 + 14 \\cdot 1,00866 = 13,09464 + 14,12124 = 27,21588$ а.е.м.

3. Вычислим дефект массы.

$\\Delta m = (Z \\cdot m_p + N \\cdot m_n) - m_я = 27,21588 - 26,97431 = 0,24157$ а.е.м.

Ответ: 0,24157 а.е.м.

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