Вариант 9, страница 88 - гдз по физике 9 класс дидактические материалы Марон, Марон

Физика, 9 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета

Авторы: Марон А. Е., Марон Е. А.

Тип: Дидактические материалы

Издательство: Просвещение

Год издания: 2022 - 2026

Уровень обучения: базовый

Цвет обложки: белый изображена башня

ISBN: 978-5-09-111414-0

Самостоятельные работы. СР-16. Строение атома и атомного ядра - страница 88.

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                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "9"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "девятый"
                              "field_creative_case" => "девятым"
                              "field_dative_case" => "девятому"
                              "field_genitive_case" => "девятого"
                              "field_nominative_case" => "девятый"
                              "field_prepositional_case" => "девятом"
                            ]
                            "field_translit" => "devjatyj"
                          ]
                          #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_publisher" => Illuminate\Database\Eloquent\Collection {#1124
                      #items: array:1 [
                        0 => App\Models\Term {#1125
                          #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" => 5153
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Просвещение"
                            "field_cases" => null
                            "field_translit" => "prosveschenie"
                          ]
                          #original: array:6 [
                            "id" => 5153
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Просвещение"
                            "field_cases" => null
                            "field_translit" => "prosveschenie"
                          ]
                          #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_author" => Illuminate\Database\Eloquent\Collection {#1126
                      #items: array:2 [
                        0 => App\Models\Term {#1127
                          #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" => 5107
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Марон"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Абрам"
                            "field_patronymic" => "Евсеевич"
                            "field_surname_rp" => null
                          ]
                          #original: array:12 [
                            "id" => 5107
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Марон"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Абрам"
                            "field_patronymic" => "Евсеевич"
                            "field_surname_rp" => null
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                        1 => App\Models\Term {#1128
                          #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" => 5108
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Марон"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Евгений"
                            "field_patronymic" => "Абрамович"
                            "field_surname_rp" => null
                          ]
                          #original: array:12 [
                            "id" => 5108
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Марон"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Евгений"
                            "field_patronymic" => "Абрамович"
                            "field_surname_rp" => null
                          ]
                          #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_author_foreign" => Illuminate\Database\Eloquent\Collection {#1129
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1130
                      #items: array:1 [
                        0 => App\Models\Term {#1131
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [
                            "id" => 6510
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Дидактические материалы"
                            "field_book_type_foreign" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "дидактические материалы"
                              "field_creative_case" => "дидактическими материалами"
                              "field_dative_case" => "дидактическим материалам"
                              "field_genitive_case" => "дидактических материалов"
                              "field_nominative_case" => "дидактические материалы"
                              "field_prepositional_case" => "дидактических материалах"
                            ]
                            "field_plural_form" => null
                            "field_short_name" => null
                            "field_short_name_foreign" => null
                            "field_translit" => "didakticheskie materialy"
                          ]
                          #original: array:10 [
                            "id" => 6510
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Дидактические материалы"
                            "field_book_type_foreign" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "дидактические материалы"
                              "field_creative_case" => "дидактическими материалами"
                              "field_dative_case" => "дидактическим материалам"
                              "field_genitive_case" => "дидактических материалов"
                              "field_nominative_case" => "дидактические материалы"
                              "field_prepositional_case" => "дидактических материалах"
                            ]
                            "field_plural_form" => null
                            "field_short_name" => null
                            "field_short_name_foreign" => null
                            "field_translit" => "didakticheskie materialy"
                          ]
                          #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_country" => Illuminate\Database\Eloquent\Collection {#1132
                      #items: array:1 [
                        0 => App\Models\Term {#1133
                          #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" => 9
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Россия"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "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 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "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 {#1134
                      #items: array:1 [
                        0 => App\Models\Term {#1135
                          #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 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "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 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "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 {#1136
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1137
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1138
                      #items: array:1 [
                        0 => App\Models\Term {#1139
                          #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" => 38
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "базовый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "базовый"
                              "field_creative_case" => "базовым"
                              "field_dative_case" => "базовому"
                              "field_genitive_case" => "базового"
                              "field_nominative_case" => "базовый"
                              "field_prepositional_case" => "базовом"
                            ]
                            "field_translit" => "bazovyy"
                          ]
                          #original: array:6 [
                            "id" => 38
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "базовый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "базовый"
                              "field_creative_case" => "базовым"
                              "field_dative_case" => "базовому"
                              "field_genitive_case" => "базового"
                              "field_nominative_case" => "базовый"
                              "field_prepositional_case" => "базовом"
                            ]
                            "field_translit" => "bazovyy"
                          ]
                          #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_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1140
                      #items: array:1 [
                        0 => App\Models\Term {#1141
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [
                            "id" => 25
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "ФГОС (новый)"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_color" => "красный"
                            "field_end_year" => "2027"
                            "field_start_year" => "2023"
                            "field_translit" => "fgos"
                            "field_type" => "новый"
                          ]
                          #original: array:10 [
                            "id" => 25
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "ФГОС (новый)"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_color" => "красный"
                            "field_end_year" => "2027"
                            "field_start_year" => "2023"
                            "field_translit" => "fgos"
                            "field_type" => "новый"
                          ]
                          #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_publication_number" => "3"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1142
                      #items: array:1 [
                        0 => App\Models\Term {#1143
                          #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" => 34
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "переработанное"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "pererabotannoe"
                          ]
                          #original: array:6 [
                            "id" => 34
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "переработанное"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "pererabotannoe"
                          ]
                          #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" => Illuminate\Database\Eloquent\Collection {#1144
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => "изображена башня"
                    "field_publication_year" => "2022"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "674"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/maron-dm/"
                    "field_isbn" => "978-5-09-111414-0"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880"
                        "alt" => ""
                        "width" => "1888"
                        "height" => "2427"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1145
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1146
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1147
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1148
                      #items: array:1 [
                        0 => App\Models\Term {#1149
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
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                          #perPage: 15
                          +exists: true
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 45
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "белый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "белый"
                              "field_creative_case" => "белым"
                              "field_dative_case" => "белому"
                              "field_genitive_case" => "белого"
                              "field_nominative_case" => "белый"
                              "field_prepositional_case" => "белом"
                            ]
                            "field_translit" => "belyy"
                          ]
                          #original: array:6 [
                            "id" => 45
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "белый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "белый"
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                              "field_dative_case" => "белому"
                              "field_genitive_case" => "белого"
                              "field_nominative_case" => "белый"
                              "field_prepositional_case" => "белом"
                            ]
                            "field_translit" => "belyy"
                          ]
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                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
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                          #hidden: []
                          #visible: []
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                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
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                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 380
                      "subject" => 556
                      "class_subject" => 493
                    ]
                  ]
                  #original: array:50 [
                    "id" => 894
                    "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 {#1121}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1122}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1124}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1126}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1129}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1130}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1132}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1134}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1136}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1137}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1138}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1140}
                    "field_publication_number" => "3"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1142}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1144}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => "изображена башня"
                    "field_publication_year" => "2022"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "674"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/maron-dm/"
                    "field_isbn" => "978-5-09-111414-0"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/maron-dm/covers/cover1.webp?ts=1758533880"
                        "alt" => ""
                        "width" => "1888"
                        "height" => "2427"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1145}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1146}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1147}
                    "field_url" => "/9-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1148}
                    "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: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #dispatchesEvents: []
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                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1150
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1428174
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Самостоятельные работы"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1118}
            "field_page_start" => "53"
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            "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
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            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1152}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1150}
          ]
          #changes: []
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          #attributeCastCache: []
          #dateFormat: null
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          #touches: []
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          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Branch {#1151
          #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" => 1428190
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "СР-16. Строение атома и атомного ядра"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1153
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "87"
            "field_branch_display" => "0"
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            "field_display_branch_in_title" => "1"
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            "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
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            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1154
              #items: array:1 [
                0 => App\Models\Book {#1119}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1155
              #items: array:1 [
                0 => App\Models\Branch {#1035}
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1428190
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "СР-16. Строение атома и атомного ядра"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1153}
            "field_page_start" => "87"
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            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1154}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1155}
          ]
          #changes: []
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          #attributeCastCache: []
          #dateFormat: null
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          #dispatchesEvents: []
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          +timestamps: true
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          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1071
      #items: array:2 [
        0 => App\Models\Element {#1100
          #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" => 1683024
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1090
              #items: array:1 [
                0 => App\Models\Edition {#1098
                  #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" => 5992
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1096
                      #items: array:1 [
                        0 => App\Models\Term {#1099 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_content_type" => "free"
                    "field_content_mode" => "text, image"
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                    "field_content_text_checked" => null
                    "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 {#1097
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1094
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_process_formula" => "katex"
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                      #escapeWhenCastingToString: false
                    }
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 5992
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                  ]
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                }
              ]
              #escapeWhenCastingToString: false
            }
            "task" => array:2 [
              "refs" => "1428709"
              "type" => "task"
            ]
            "text" => "<p><strong>1.</strong> Каков состав ядра $^{107}_{47}Ag$?</p><p><strong>2.</strong> Напишите ядерную реакцию $\alpha$-распада изотопа урана $^{238}_{92}U$.</p><p><strong>3.</strong> Рассчитайте энергию связи ядра изотопа кислорода $^{16}_8O$. Масса протона $1,0073$ а. е. м., масса нейтрона $1,0087$ а. е. м., масса изотопа кислорода $15,99491$ а. е. м.</p>"
            "img" => array:2 [
              0 => array:5 [
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                "alt" => null
                "width" => "1437"
                "height" => 281
                "path" => "/media/fizika_09/maron-dm/0-cp16/9-1.webp?ts=1758964257"
              ]
              1 => array:5 [
                "name" => "9-2.jpg"
                "alt" => null
                "width" => "1448"
                "height" => 271
                "path" => "/media/fizika_09/maron-dm/0-cp16/9-2.webp?ts=1758964257"
              ]
            ]
          ]
          #original: array:7 [
            "id" => 1683024
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1090}
            "task" => array:2 [
              "refs" => "1428709"
              "type" => "task"
            ]
            "text" => "<p><strong>1.</strong> Каков состав ядра $^{107}_{47}Ag$?</p><p><strong>2.</strong> Напишите ядерную реакцию $\alpha$-распада изотопа урана $^{238}_{92}U$.</p><p><strong>3.</strong> Рассчитайте энергию связи ядра изотопа кислорода $^{16}_8O$. Масса протона $1,0073$ а. е. м., масса нейтрона $1,0087$ а. е. м., масса изотопа кислорода $15,99491$ а. е. м.</p>"
            "img" => array:2 [
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                "name" => "9-1.jpg"
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                "width" => "1437"
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                "path" => "/media/fizika_09/maron-dm/0-cp16/9-1.webp?ts=1758964257"
              ]
              1 => array:5 [
                "name" => "9-2.jpg"
                "alt" => null
                "width" => "1448"
                "height" => 271
                "path" => "/media/fizika_09/maron-dm/0-cp16/9-2.webp?ts=1758964257"
              ]
            ]
          ]
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          #visible: []
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          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Element {#1093
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
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          #escapeWhenCastingToString: false
          #attributes: array:6 [
            "id" => 1730726
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1084
              #items: array:1 [
                0 => App\Models\Edition {#1092
                  #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" => 6313
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
                    "field_order" => "2"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1088
                      #items: array:1 [
                        0 => App\Models\Term {#1091 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_content_type" => "free"
                    "field_content_mode" => "text"
                    "field_page_content_mode" => ""
                    "field_content_text_checked" => null
                    "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 {#1089
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1086
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1087
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 6313
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
                    "field_order" => "2"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1088}
                    "field_content_type" => "free"
                    "field_content_mode" => "text"
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                    "field_solution_author" => "Gemini 2.5 Pro"
                    "field_moderator" => "tolik"
                    "field_edition_type" => "solution"
                    "field_root_dir" => "1-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1089}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1086}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1087}
                    "field_content_source" => null
                  ]
                  #changes: []
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                  #visible: []
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "task" => array:2 [
              "refs" => "1428709"
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            "text" => "<p><strong>1.</strong> Каков состав ядра $^{107}_{47}$Ag?</p><p>Состав атомного ядра определяется его зарядовым (порядковым) числом $\text{Z}$ и массовым числом $\text{A}$. В стандартном обозначении изотопа $^{A}_{Z}X$, $\text{Z}$ (нижний индекс) — это число протонов, а $\text{A}$ (верхний индекс) — это общее число нуклонов (протонов и нейтронов).</p><p>Для изотопа серебра $^{107}_{47}$Ag:</p><p>Число протонов ($p^{+}$) равно зарядовому числу: $Z = 47$.</p><p>Массовое число (сумма протонов и нейтронов) равно: $A = 107$.</p><p>Число нейтронов ($n^{0}$) можно найти, вычтя число протонов из массового числа: $N = A - Z$.</p><p>$N = 107 - 47 = 60$.</p><p>Таким образом, ядро изотопа серебра-107 состоит из 47 протонов и 60 нейтронов.</p><p><strong>Ответ:</strong> Ядро изотопа серебра $^{107}_{47}$Ag состоит из 47 протонов и 60 нейтронов.</p><p><strong>2.</strong> Напишите ядерную реакцию α-распада изотопа урана $^{238}_{92}$U.</p><p>Альфа-распад (α-распад) — это тип радиоактивного распада, при котором ядро испускает альфа-частицу, которая является ядром атома гелия ($^{4}_{2}$He). В результате этого процесса массовое число исходного ядра уменьшается на 4, а зарядовое число — на 2.</p><p>Общая схема реакции α-распада:</p><p>$^{A}_{Z}X \rightarrow ^{A-4}_{Z-2}Y + ^{4}_{2}\text{He}$</p><p>Применим эту схему для изотопа урана $^{238}_{92}$U:</p><p>Исходное ядро: $A = 238$, $Z = 92$.</p><p>После распада образуется новое ядро Y с параметрами:</p><p>Новое массовое число: $A' = 238 - 4 = 234$.</p><p>Новое зарядовое число: $Z' = 92 - 2 = 90$.</p><p>Элемент с зарядовым числом 90 в периодической таблице Менделеева — это торий (Th).</p><p>Следовательно, в результате α-распада урана-238 образуется торий-234.</p><p>Полное уравнение ядерной реакции:</p><p>$^{238}_{92}\text{U} \rightarrow ^{234}_{90}\text{Th} + ^{4}_{2}\text{He}$</p><p><strong>Ответ:</strong> $^{238}_{92}\text{U} \rightarrow ^{234}_{90}\text{Th} + ^{4}_{2}\text{He}$.</p><p><strong>3.</strong> Рассчитайте энергию связи ядра изотопа кислорода $^{16}_{8}$O.</p><p><strong>Дано:</strong></p><p>Изотоп кислорода: $^{16}_{8}$O</p><p>Масса протона: $m_p = 1,0073$ а. е. м.</p><p>Масса нейтрона: $m_n = 1,0087$ а. е. м.</p><p>Масса ядра изотопа кислорода: $m_{я} = 15,99491$ а. е. м.</p><p>Справочные данные:</p><p>1 а. е. м. $= 1,66054 \times 10^{-27}$ кг</p><p>Скорость света в вакууме: $c = 2,9979 \times 10^8$ м/с</p><p><strong>В системе СИ:</strong></p><p>$m_p = 1,0073 \times 1,66054 \times 10^{-27} \text{ кг} \approx 1,6726 \times 10^{-27}$ кг</p><p>$m_n = 1,0087 \times 1,66054 \times 10^{-27} \text{ кг} \approx 1,6749 \times 10^{-27}$ кг</p><p>$m_{я} = 15,99491 \times 1,66054 \times 10^{-27} \text{ кг} \approx 2,6560 \times 10^{-26}$ кг</p><p><strong>Найти:</strong></p><p>$E_{св}$ — энергия связи ядра.</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Определим состав ядра изотопа кислорода $^{16}_{8}$O.</p><p>Число протонов $Z = 8$.</p><p>Число нейтронов $N = A - Z = 16 - 8 = 8$.</p><p><strong>2.</strong> Рассчитаем дефект масс ($\Delta m$) — разность между суммой масс свободных нуклонов, составляющих ядро, и массой самого ядра. Для большей точности сначала вычислим дефект масс в атомных единицах массы (а. е. м.).</p><p>$\Delta m = (Z \cdot m_p + N \cdot m_n) - m_{я}$</p><p>$\Delta m = (8 \cdot 1,0073 \text{ а. е. м.} + 8 \cdot 1,0087 \text{ а. е. м.}) - 15,99491 \text{ а. е. м.}$</p><p>$\Delta m = (8,0584 + 8,0696) - 15,99491 = 16,1280 - 15,99491 = 0,13309$ а. е. м.</p><p><strong>3.</strong> Переведем дефект масс в единицы системы СИ (килограммы).</p><p>$\Delta m = 0,13309 \text{ а. е. м.} \times 1,66054 \times 10^{-27} \frac{\text{кг}}{\text{а. е. м.}} \approx 2,21 \times 10^{-28}$ кг.</p><p><strong>4.</strong> Энергия связи ($E_{св}$) вычисляется по формуле эквивалентности массы и энергии Эйнштейна:</p><p>$E_{св} = \Delta m \cdot c^2$</p><p>$E_{св} \approx 2,21 \times 10^{-28} \text{ кг} \times (2,9979 \times 10^8 \frac{\text{м}}{\text{с}})^2$</p><p>$E_{св} \approx 2,21 \times 10^{-28} \times 8,9874 \times 10^{16} \text{ Дж} \approx 1,986 \times 10^{-11}$ Дж.</p><p><strong>Ответ:</strong> $E_{св} \approx 1,986 \times 10^{-11}$ Дж.</p>"
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            "text" => "<p><strong>1.</strong> Каков состав ядра $^{107}_{47}$Ag?</p><p>Состав атомного ядра определяется его зарядовым (порядковым) числом $\text{Z}$ и массовым числом $\text{A}$. В стандартном обозначении изотопа $^{A}_{Z}X$, $\text{Z}$ (нижний индекс) — это число протонов, а $\text{A}$ (верхний индекс) — это общее число нуклонов (протонов и нейтронов).</p><p>Для изотопа серебра $^{107}_{47}$Ag:</p><p>Число протонов ($p^{+}$) равно зарядовому числу: $Z = 47$.</p><p>Массовое число (сумма протонов и нейтронов) равно: $A = 107$.</p><p>Число нейтронов ($n^{0}$) можно найти, вычтя число протонов из массового числа: $N = A - Z$.</p><p>$N = 107 - 47 = 60$.</p><p>Таким образом, ядро изотопа серебра-107 состоит из 47 протонов и 60 нейтронов.</p><p><strong>Ответ:</strong> Ядро изотопа серебра $^{107}_{47}$Ag состоит из 47 протонов и 60 нейтронов.</p><p><strong>2.</strong> Напишите ядерную реакцию α-распада изотопа урана $^{238}_{92}$U.</p><p>Альфа-распад (α-распад) — это тип радиоактивного распада, при котором ядро испускает альфа-частицу, которая является ядром атома гелия ($^{4}_{2}$He). В результате этого процесса массовое число исходного ядра уменьшается на 4, а зарядовое число — на 2.</p><p>Общая схема реакции α-распада:</p><p>$^{A}_{Z}X \rightarrow ^{A-4}_{Z-2}Y + ^{4}_{2}\text{He}$</p><p>Применим эту схему для изотопа урана $^{238}_{92}$U:</p><p>Исходное ядро: $A = 238$, $Z = 92$.</p><p>После распада образуется новое ядро Y с параметрами:</p><p>Новое массовое число: $A' = 238 - 4 = 234$.</p><p>Новое зарядовое число: $Z' = 92 - 2 = 90$.</p><p>Элемент с зарядовым числом 90 в периодической таблице Менделеева — это торий (Th).</p><p>Следовательно, в результате α-распада урана-238 образуется торий-234.</p><p>Полное уравнение ядерной реакции:</p><p>$^{238}_{92}\text{U} \rightarrow ^{234}_{90}\text{Th} + ^{4}_{2}\text{He}$</p><p><strong>Ответ:</strong> $^{238}_{92}\text{U} \rightarrow ^{234}_{90}\text{Th} + ^{4}_{2}\text{He}$.</p><p><strong>3.</strong> Рассчитайте энергию связи ядра изотопа кислорода $^{16}_{8}$O.</p><p><strong>Дано:</strong></p><p>Изотоп кислорода: $^{16}_{8}$O</p><p>Масса протона: $m_p = 1,0073$ а. е. м.</p><p>Масса нейтрона: $m_n = 1,0087$ а. е. м.</p><p>Масса ядра изотопа кислорода: $m_{я} = 15,99491$ а. е. м.</p><p>Справочные данные:</p><p>1 а. е. м. $= 1,66054 \times 10^{-27}$ кг</p><p>Скорость света в вакууме: $c = 2,9979 \times 10^8$ м/с</p><p><strong>В системе СИ:</strong></p><p>$m_p = 1,0073 \times 1,66054 \times 10^{-27} \text{ кг} \approx 1,6726 \times 10^{-27}$ кг</p><p>$m_n = 1,0087 \times 1,66054 \times 10^{-27} \text{ кг} \approx 1,6749 \times 10^{-27}$ кг</p><p>$m_{я} = 15,99491 \times 1,66054 \times 10^{-27} \text{ кг} \approx 2,6560 \times 10^{-26}$ кг</p><p><strong>Найти:</strong></p><p>$E_{св}$ — энергия связи ядра.</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Определим состав ядра изотопа кислорода $^{16}_{8}$O.</p><p>Число протонов $Z = 8$.</p><p>Число нейтронов $N = A - Z = 16 - 8 = 8$.</p><p><strong>2.</strong> Рассчитаем дефект масс ($\Delta m$) — разность между суммой масс свободных нуклонов, составляющих ядро, и массой самого ядра. Для большей точности сначала вычислим дефект масс в атомных единицах массы (а. е. м.).</p><p>$\Delta m = (Z \cdot m_p + N \cdot m_n) - m_{я}$</p><p>$\Delta m = (8 \cdot 1,0073 \text{ а. е. м.} + 8 \cdot 1,0087 \text{ а. е. м.}) - 15,99491 \text{ а. е. м.}$</p><p>$\Delta m = (8,0584 + 8,0696) - 15,99491 = 16,1280 - 15,99491 = 0,13309$ а. е. м.</p><p><strong>3.</strong> Переведем дефект масс в единицы системы СИ (килограммы).</p><p>$\Delta m = 0,13309 \text{ а. е. м.} \times 1,66054 \times 10^{-27} \frac{\text{кг}}{\text{а. е. м.}} \approx 2,21 \times 10^{-28}$ кг.</p><p><strong>4.</strong> Энергия связи ($E_{св}$) вычисляется по формуле эквивалентности массы и энергии Эйнштейна:</p><p>$E_{св} = \Delta m \cdot c^2$</p><p>$E_{св} \approx 2,21 \times 10^{-28} \text{ кг} \times (2,9979 \times 10^8 \frac{\text{м}}{\text{с}})^2$</p><p>$E_{св} \approx 2,21 \times 10^{-28} \times 8,9874 \times 10^{16} \text{ Дж} \approx 1,986 \times 10^{-11}$ Дж.</p><p><strong>Ответ:</strong> $E_{св} \approx 1,986 \times 10^{-11}$ Дж.</p>"
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Вариант 9 (с. 88)
Условие. Вариант 9 (с. 88)
скриншот условия
Физика, 9 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета, страница 88, Условие
Физика, 9 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета, страница 88, Условие (продолжение 2)

1. Каков состав ядра $^{107}_{47}Ag$?

2. Напишите ядерную реакцию $\alpha$-распада изотопа урана $^{238}_{92}U$.

3. Рассчитайте энергию связи ядра изотопа кислорода $^{16}_8O$. Масса протона $1,0073$ а. е. м., масса нейтрона $1,0087$ а. е. м., масса изотопа кислорода $15,99491$ а. е. м.

Решение. Вариант 9 (с. 88)

1. Каков состав ядра $^{107}_{47}$Ag?

Состав атомного ядра определяется его зарядовым (порядковым) числом $\text{Z}$ и массовым числом $\text{A}$. В стандартном обозначении изотопа $^{A}_{Z}X$, $\text{Z}$ (нижний индекс) — это число протонов, а $\text{A}$ (верхний индекс) — это общее число нуклонов (протонов и нейтронов).

Для изотопа серебра $^{107}_{47}$Ag:

Число протонов ($p^{+}$) равно зарядовому числу: $Z = 47$.

Массовое число (сумма протонов и нейтронов) равно: $A = 107$.

Число нейтронов ($n^{0}$) можно найти, вычтя число протонов из массового числа: $N = A - Z$.

$N = 107 - 47 = 60$.

Таким образом, ядро изотопа серебра-107 состоит из 47 протонов и 60 нейтронов.

Ответ: Ядро изотопа серебра $^{107}_{47}$Ag состоит из 47 протонов и 60 нейтронов.

2. Напишите ядерную реакцию α-распада изотопа урана $^{238}_{92}$U.

Альфа-распад (α-распад) — это тип радиоактивного распада, при котором ядро испускает альфа-частицу, которая является ядром атома гелия ($^{4}_{2}$He). В результате этого процесса массовое число исходного ядра уменьшается на 4, а зарядовое число — на 2.

Общая схема реакции α-распада:

$^{A}_{Z}X \rightarrow ^{A-4}_{Z-2}Y + ^{4}_{2}\text{He}$

Применим эту схему для изотопа урана $^{238}_{92}$U:

Исходное ядро: $A = 238$, $Z = 92$.

После распада образуется новое ядро Y с параметрами:

Новое массовое число: $A' = 238 - 4 = 234$.

Новое зарядовое число: $Z' = 92 - 2 = 90$.

Элемент с зарядовым числом 90 в периодической таблице Менделеева — это торий (Th).

Следовательно, в результате α-распада урана-238 образуется торий-234.

Полное уравнение ядерной реакции:

$^{238}_{92}\text{U} \rightarrow ^{234}_{90}\text{Th} + ^{4}_{2}\text{He}$

Ответ: $^{238}_{92}\text{U} \rightarrow ^{234}_{90}\text{Th} + ^{4}_{2}\text{He}$.

3. Рассчитайте энергию связи ядра изотопа кислорода $^{16}_{8}$O.

Дано:

Изотоп кислорода: $^{16}_{8}$O

Масса протона: $m_p = 1,0073$ а. е. м.

Масса нейтрона: $m_n = 1,0087$ а. е. м.

Масса ядра изотопа кислорода: $m_{я} = 15,99491$ а. е. м.

Справочные данные:

1 а. е. м. $= 1,66054 \times 10^{-27}$ кг

Скорость света в вакууме: $c = 2,9979 \times 10^8$ м/с

В системе СИ:

$m_p = 1,0073 \times 1,66054 \times 10^{-27} \text{ кг} \approx 1,6726 \times 10^{-27}$ кг

$m_n = 1,0087 \times 1,66054 \times 10^{-27} \text{ кг} \approx 1,6749 \times 10^{-27}$ кг

$m_{я} = 15,99491 \times 1,66054 \times 10^{-27} \text{ кг} \approx 2,6560 \times 10^{-26}$ кг

Найти:

$E_{св}$ — энергия связи ядра.

Решение:

1. Определим состав ядра изотопа кислорода $^{16}_{8}$O.

Число протонов $Z = 8$.

Число нейтронов $N = A - Z = 16 - 8 = 8$.

2. Рассчитаем дефект масс ($\Delta m$) — разность между суммой масс свободных нуклонов, составляющих ядро, и массой самого ядра. Для большей точности сначала вычислим дефект масс в атомных единицах массы (а. е. м.).

$\Delta m = (Z \cdot m_p + N \cdot m_n) - m_{я}$

$\Delta m = (8 \cdot 1,0073 \text{ а. е. м.} + 8 \cdot 1,0087 \text{ а. е. м.}) - 15,99491 \text{ а. е. м.}$

$\Delta m = (8,0584 + 8,0696) - 15,99491 = 16,1280 - 15,99491 = 0,13309$ а. е. м.

3. Переведем дефект масс в единицы системы СИ (килограммы).

$\Delta m = 0,13309 \text{ а. е. м.} \times 1,66054 \times 10^{-27} \frac{\text{кг}}{\text{а. е. м.}} \approx 2,21 \times 10^{-28}$ кг.

4. Энергия связи ($E_{св}$) вычисляется по формуле эквивалентности массы и энергии Эйнштейна:

$E_{св} = \Delta m \cdot c^2$

$E_{св} \approx 2,21 \times 10^{-28} \text{ кг} \times (2,9979 \times 10^8 \frac{\text{м}}{\text{с}})^2$

$E_{св} \approx 2,21 \times 10^{-28} \times 8,9874 \times 10^{16} \text{ Дж} \approx 1,986 \times 10^{-11}$ Дж.

Ответ: $E_{св} \approx 1,986 \times 10^{-11}$ Дж.

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