Номер 6.5, страница 34 - гдз по физике 9 класс задачник Артеменков, Ломаченков

Физика, 9 класс Задачник, авторы: Артеменков Денис Александрович, Ломаченков Иван Алексеевич, Панебратцев Юрий Анатольевич, издательство Просвещение, Москва, 2011

Авторы: Артеменков Д. А., Ломаченков И. А., Панебратцев Ю. А.

Тип: Задачник

Серия: сферы

Издательство: Просвещение

Год издания: 2011 - 2026

Цвет обложки: синий

ISBN: 978-5-09-038216-8

VI. Электромагнитная природа света - номер 6.5, страница 34.

App\Models\Task {#1030 // 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" => 1424264
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "34"
    "field_page_end" => null
    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/6-5"
    "field_display_title" => "6.5"
    "field_outside_task" => null
    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1037
      #items: array:1 [
        0 => App\Models\Term {#1036
          #connection: "mysql"
          #table: "terms"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
          #with: []
          #withCount: []
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          #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"
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              "field_genitive_case" => "номера"
              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
            "field_short_name" => ""
          ]
          #original: array:6 [
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            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "name" => "номер"
            "field_cases" => array:6 [
              "field_accusative_case" => "номер"
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              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
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          ]
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          #hidden: []
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          #guarded: array:1 [
            0 => "*"
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        }
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    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1035
      #items: []
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    }
    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1046
      #items: array:1 [
        0 => App\Models\Branch {#1045
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
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          #attributes: array:24 [
            "id" => 1424069
            "created_at" => "2026-04-10 13:58:26"
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            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1047
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            "book" => Illuminate\Database\Eloquent\Collection {#1057
              #items: array:1 [
                0 => App\Models\Book {#1056
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
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                  #with: []
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                  #attributes: array:50 [
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                    "created_at" => "2026-04-10 13:58:26"
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                        0 => App\Models\Term {#1058
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                          #table: "terms"
                          #primaryKey: "id"
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                          #attributes: array:10 [
                            "id" => 6493
                            "created_at" => "2026-04-10 13:58:26"
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                            "field_subject_type" => "technical_subject"
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                          #original: array:10 [
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                              "field_prepositional_case" => "физике"
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                            "field_subject_type" => "technical_subject"
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                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1063
                      #items: array:1 [
                        0 => App\Models\Term {#1060
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
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                          +exists: true
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                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 5458
                            "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"
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                          #original: array:6 [
                            "id" => 5458
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                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1065
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                        0 => App\Models\Term {#1062
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                            "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: []
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                      ]
                      #escapeWhenCastingToString: false
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                    "field_author" => Illuminate\Database\Eloquent\Collection {#1068
                      #items: array:3 [
                        0 => App\Models\Term {#1064
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
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                          #withCount: []
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                          #escapeWhenCastingToString: false
                          #attributes: array:12 [
                            "id" => 3745
                            "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
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                          #original: array:12 [
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                        1 => App\Models\Term {#1066
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                        2 => App\Models\Term {#1059
                          #connection: "mysql"
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                            "created_at" => "2026-04-10 13:58:26"
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                        0 => App\Models\Term {#1071
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                      ]
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                    "field_city" => Illuminate\Database\Eloquent\Collection {#1076
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                        0 => App\Models\Term {#1073
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                          #table: "terms"
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                      ]
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                    "field_series" => Illuminate\Database\Eloquent\Collection {#1078
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                        0 => App\Models\Term {#1075
                          #connection: "mysql"
                          #table: "terms"
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                            "id" => 4795
                            "created_at" => "2026-04-10 13:58:26"
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                            "field_translit" => "sfery"
                          ]
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                            "id" => 4795
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "сферы"
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                          ]
                        }
                      ]
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                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1077
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1070
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                      #escapeWhenCastingToString: false
                    }
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1079
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                      #escapeWhenCastingToString: false
                    }
                    "field_publication_number" => "2"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1089
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                        0 => App\Models\Term {#1088
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
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                          +exists: true
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                          #attributes: array:6 [
                            "id" => 37
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "переработанное и дополненное"
                            "field_cases" => array:6 [
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                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "pererabotannoe i dopolnennoe"
                          ]
                          #original: array:6 [
                            "id" => 37
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "переработанное и дополненное"
                            "field_cases" => array:6 [
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                            ]
                            "field_translit" => "pererabotannoe i dopolnennoe"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
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                          #relations: []
                          #touches: []
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                          #hidden: []
                          #visible: []
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                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1081
                      #items: array:1 [
                        0 => App\Models\Term {#1059}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2011"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие для общеобразовательных организаций"
                    "field_allowed" => null
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                    "field_tasks_count" => "278"
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                    "field_default_folder" => "/fizika_09/artemenkov-z/"
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                    "field_cover" => array:1 [
                      0 => "/media/fizika_09/artemenkov-z/covers/cover1.webp?ts=1758483621"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/artemenkov-z/covers/cover1.webp?ts=1758483621"
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                        "width" => "1888"
                        "height" => "2427"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1082
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1080
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1085
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1090
                      #items: array:1 [
                        0 => App\Models\Term {#1083
                          #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" => 49
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "синий"
                            "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" => "siniy"
                          ]
                          #original: array:6 [
                            "id" => 49
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "синий"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
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                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "siniy"
                          ]
                          #changes: []
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                          #dateFormat: null
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                          #hidden: []
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                          #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" => 2549
                    "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 {#1061}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1063}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1065}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1068}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1069}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1072}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1074}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1076}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1078}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1077}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1070}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1079}
                    "field_publication_number" => "2"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1089}
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                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2011"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие для общеобразовательных организаций"
                    "field_allowed" => null
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                    "field_link_to_source" => null
                    "field_tasks_count" => "278"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_09/artemenkov-z/"
                    "field_isbn" => "978-5-09-038216-8"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_09/artemenkov-z/covers/cover1.webp?ts=1758483621"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_09/artemenkov-z/covers/cover1.webp?ts=1758483621"
                        "alt" => ""
                        "width" => "1888"
                        "height" => "2427"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1082}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1080}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1085}
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1090}
                    "field_metatags_title" => null
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                    "breadcrumbs" => array:3 [
                      "class" => 380
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                    ]
                  ]
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1049
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1424069
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "VI. Электромагнитная природа света"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1047}
            "field_page_start" => "34"
            "field_branch_display" => "0"
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            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
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            "field_branch_title_in_content" => "0"
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            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1057}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1049}
          ]
          #changes: []
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          #dateFormat: null
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          +timestamps: true
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          #hidden: []
          #visible: []
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            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1038
      #items: array:1 [
        0 => App\Models\Branch {#1045}
      ]
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1034
      #items: array:2 [
        0 => App\Models\Element {#1054
          #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" => 1673882
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1097
              #items: array:1 [
                0 => App\Models\Edition {#1096
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
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                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:21 [
                    "id" => 5990
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1098
                      #items: array:1 [
                        0 => App\Models\Term {#1062}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_content_type" => "free"
                    "field_content_mode" => "text, image"
                    "field_page_content_mode" => "image"
                    "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 {#1104
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1100
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1101
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 5990
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1098}
                    "field_content_type" => "free"
                    "field_content_mode" => "text, image"
                    "field_page_content_mode" => "image"
                    "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 {#1104}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1100}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1101}
                    "field_content_source" => null
                  ]
                  #changes: []
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                  #attributeCastCache: []
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                  #dispatchesEvents: []
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                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "task" => array:2 [
              "refs" => "1424264"
              "type" => "task"
            ]
            "text" => "<p><strong>6.5</strong> Показатели преломления для алмаза, стекла, воды, рубина равны соответственно 2,42; 1,55; 1,33; 1,76. Сравните скорости распространения света в указанных веществах. Определите значение скорости света в алмазе.</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "5-1.jpg"
                "alt" => null
                "width" => "1735"
                "height" => 312
                "path" => "/media/fizika_09/artemenkov-z/0-6/5-1.webp?ts=1758726415"
              ]
            ]
          ]
          #original: array:7 [
            "id" => 1673882
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1097}
            "task" => array:2 [
              "refs" => "1424264"
              "type" => "task"
            ]
            "text" => "<p><strong>6.5</strong> Показатели преломления для алмаза, стекла, воды, рубина равны соответственно 2,42; 1,55; 1,33; 1,76. Сравните скорости распространения света в указанных веществах. Определите значение скорости света в алмазе.</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "5-1.jpg"
                "alt" => null
                "width" => "1735"
                "height" => 312
                "path" => "/media/fizika_09/artemenkov-z/0-6/5-1.webp?ts=1758726415"
              ]
            ]
          ]
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          #attributeCastCache: []
          #dateFormat: null
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          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Element {#1084
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            "text" => "<p><strong>Дано:</strong></p><p>Показатель преломления алмаза, $n_{алмаз} = 2,42$</p><p>Показатель преломления стекла, $n_{стекло} = 1,55$</p><p>Показатель преломления воды, $n_{вода} = 1,33$</p><p>Показатель преломления рубина, $n_{рубин} = 1,76$</p><p>Скорость света в вакууме, $c \approx 3 \cdot 10^8$ м/с (физическая константа)</p><p><strong>Найти:</strong></p><p><strong>1.</strong> Сравнить скорости света в указанных веществах.</p><p><strong>2.</strong> Значение скорости света в алмазе ($v_{алмаз}$).</p><p><strong>Решение:</strong></p><p>Абсолютный показатель преломления среды $n$ показывает, во сколько раз скорость света в вакууме $c$ больше скорости света в данной среде $v$. Он определяется по формуле:</p><p>$n = \frac{c}{v}$</p><p>Из этой формулы выразим скорость света в среде:</p><p>$v = \frac{c}{n}$</p><p>Из полученной зависимости следует, что скорость распространения света в веществе обратно пропорциональна его показателю преломления. Следовательно, чем больше показатель преломления, тем медленнее распространяется свет в данной среде.</p><p><strong>Сравните скорости распространения света в указанных веществах</strong></p><p>Для сравнения скоростей света в алмазе, стекле, воде и рубине, расположим их показатели преломления в порядке возрастания:</p><p>$n_{вода} (1,33) &lt; n_{стекло} (1,55) &lt; n_{рубин} (1,76) &lt; n_{алмаз} (2,42)$</p><p>Так как скорость света обратно пропорциональна показателю преломления, то для скоростей будет выполняться обратное неравенство:</p><p>$v_{вода} &gt; v_{стекло} &gt; v_{рубин} &gt; v_{алмаз}$</p><p>Таким образом, среди перечисленных веществ наибольшая скорость света будет в воде, а наименьшая — в алмазе.</p><p><strong>Ответ:</strong> $v_{вода} &gt; v_{стекло} &gt; v_{рубин} &gt; v_{алмаз}$.</p><p><strong>Определите значение скорости света в алмазе</strong></p><p>Чтобы найти скорость света в алмазе ($v_{алмаз}$), используем выведенную ранее формулу, подставив в нее значение скорости света в вакууме $c$ и показатель преломления алмаза $n_{алмаз}$.</p><p>$v_{алмаз} = \frac{c}{n_{алмаз}}$</p><p>Подставим числовые значения и выполним расчет:</p><p>$v_{алмаз} = \frac{3 \cdot 10^8 \text{ м/с}}{2,42} \approx 1,239669... \cdot 10^8 \text{ м/с}$</p><p>Округлим полученный результат до трех значащих цифр, так как исходные данные представлены с такой же точностью.</p><p>$v_{алмаз} \approx 1,24 \cdot 10^8 \text{ м/с}$</p><p><strong>Ответ:</strong> Значение скорости света в алмазе составляет примерно $1,24 \cdot 10^8$ м/с.</p>"
          ]
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            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1103}
            "task" => array:2 [
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            "text" => "<p><strong>Дано:</strong></p><p>Показатель преломления алмаза, $n_{алмаз} = 2,42$</p><p>Показатель преломления стекла, $n_{стекло} = 1,55$</p><p>Показатель преломления воды, $n_{вода} = 1,33$</p><p>Показатель преломления рубина, $n_{рубин} = 1,76$</p><p>Скорость света в вакууме, $c \approx 3 \cdot 10^8$ м/с (физическая константа)</p><p><strong>Найти:</strong></p><p><strong>1.</strong> Сравнить скорости света в указанных веществах.</p><p><strong>2.</strong> Значение скорости света в алмазе ($v_{алмаз}$).</p><p><strong>Решение:</strong></p><p>Абсолютный показатель преломления среды $n$ показывает, во сколько раз скорость света в вакууме $c$ больше скорости света в данной среде $v$. Он определяется по формуле:</p><p>$n = \frac{c}{v}$</p><p>Из этой формулы выразим скорость света в среде:</p><p>$v = \frac{c}{n}$</p><p>Из полученной зависимости следует, что скорость распространения света в веществе обратно пропорциональна его показателю преломления. Следовательно, чем больше показатель преломления, тем медленнее распространяется свет в данной среде.</p><p><strong>Сравните скорости распространения света в указанных веществах</strong></p><p>Для сравнения скоростей света в алмазе, стекле, воде и рубине, расположим их показатели преломления в порядке возрастания:</p><p>$n_{вода} (1,33) &lt; n_{стекло} (1,55) &lt; n_{рубин} (1,76) &lt; n_{алмаз} (2,42)$</p><p>Так как скорость света обратно пропорциональна показателю преломления, то для скоростей будет выполняться обратное неравенство:</p><p>$v_{вода} &gt; v_{стекло} &gt; v_{рубин} &gt; v_{алмаз}$</p><p>Таким образом, среди перечисленных веществ наибольшая скорость света будет в воде, а наименьшая — в алмазе.</p><p><strong>Ответ:</strong> $v_{вода} &gt; v_{стекло} &gt; v_{рубин} &gt; v_{алмаз}$.</p><p><strong>Определите значение скорости света в алмазе</strong></p><p>Чтобы найти скорость света в алмазе ($v_{алмаз}$), используем выведенную ранее формулу, подставив в нее значение скорости света в вакууме $c$ и показатель преломления алмаза $n_{алмаз}$.</p><p>$v_{алмаз} = \frac{c}{n_{алмаз}}$</p><p>Подставим числовые значения и выполним расчет:</p><p>$v_{алмаз} = \frac{3 \cdot 10^8 \text{ м/с}}{2,42} \approx 1,239669... \cdot 10^8 \text{ м/с}$</p><p>Округлим полученный результат до трех значащих цифр, так как исходные данные представлены с такой же точностью.</p><p>$v_{алмаз} \approx 1,24 \cdot 10^8 \text{ м/с}$</p><p><strong>Ответ:</strong> Значение скорости света в алмазе составляет примерно $1,24 \cdot 10^8$ м/с.</p>"
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                  ]
                }
                1 => App\Models\Task {#1193
                  #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" => 1424261
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "34"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/6-2"
                    "field_display_title" => "6.2"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1191
                      #items: array:1 [
                        0 => App\Models\Term {#1036}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1200
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1196
                      #items: array:1 [
                        0 => App\Models\Branch {#1045}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1194
                      #items: array:1 [
                        0 => App\Models\Branch {#1045}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1195
                      #items: array:2 [
                        0 => App\Models\Element {#1213
                          #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 [ …7]
                          #original: array:7 [ …7]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                        1 => App\Models\Element {#1215
                          #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 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1424262"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424260"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1210
                      #items: array:1 [
                        0 => App\Models\Book {#1056}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1424384"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1424261
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "34"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/6-2"
                    "field_display_title" => "6.2"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1191}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1200}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1196}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1194}
                    "content" => Illuminate\Database\Eloquent\Collection {#1195}
                    "next" => array:2 [
                      "refs" => "1424262"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424260"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1210}
                    "page" => array:2 [
                      "refs" => "1424384"
                      "type" => "book_page"
                    ]
                  ]
                  #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\Task {#1205
                  #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" => 1424262
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "34"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/6-3"
                    "field_display_title" => "6.3"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1197
                      #items: array:1 [
                        0 => App\Models\Term {#1036}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1212
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1208
                      #items: array:1 [
                        0 => App\Models\Branch {#1045}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1206
                      #items: array:1 [
                        0 => App\Models\Branch {#1045}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1207
                      #items: array:2 [
                        0 => App\Models\Element {#1225
                          #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 [ …7]
                          #original: array:7 [ …7]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                        1 => App\Models\Element {#1227
                          #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 [ …6]
                          #original: array:6 [ …6]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [ …1]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1424263"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424261"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1222
                      #items: array:1 [
                        0 => App\Models\Book {#1056}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1424384"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1424262
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "34"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/6-3"
                    "field_display_title" => "6.3"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1197}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1212}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1208}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1206}
                    "content" => Illuminate\Database\Eloquent\Collection {#1207}
                    "next" => array:2 [
                      "refs" => "1424263"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424261"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1222}
                    "page" => array:2 [
                      "refs" => "1424384"
                      "type" => "book_page"
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                3 => App\Models\Task {#1217
                  #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" => 1424263
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "34"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/6-4"
                    "field_display_title" => "6.4"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1209
                      #items: array:1 [
                        0 => App\Models\Term {#1036}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1224
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1220
                      #items: array:1 [
                        0 => App\Models\Branch {#1045}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1218
                      #items: array:1 [
                        0 => App\Models\Branch {#1045}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1219
                      #items: array:2 [
                        0 => App\Models\Element {#1237
                          #connection: "mysql"
                          #table: "elements"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: true
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                           …20
                        }
                        1 => App\Models\Element {#1239 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1424264"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424262"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1234
                      #items: array:1 [
                        0 => App\Models\Book {#1056}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1424384"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1424263
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "34"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/6-4"
                    "field_display_title" => "6.4"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1209}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1224}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1220}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1218}
                    "content" => Illuminate\Database\Eloquent\Collection {#1219}
                    "next" => array:2 [
                      "refs" => "1424264"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424262"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1234}
                    "page" => array:2 [
                      "refs" => "1424384"
                      "type" => "book_page"
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                4 => App\Models\Task {#1229
                  #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" => 1424264
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "34"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/6-5"
                    "field_display_title" => "6.5"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1221
                      #items: array:1 [
                        0 => App\Models\Term {#1036}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1236
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1232
                      #items: array:1 [
                        0 => App\Models\Branch {#1045}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1230
                      #items: array:1 [
                        0 => App\Models\Branch {#1045}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1233
                      #items: array:2 [
                        0 => App\Models\Element {#1054}
                        1 => App\Models\Element {#1084}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1424265"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424263"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1231
                      #items: array:1 [
                        0 => App\Models\Book {#1056}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1424384"
                      "type" => "book_page"
                    ]
                  ]
                  #original: array:24 [
                    "id" => 1424264
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "34"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/6-5"
                    "field_display_title" => "6.5"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1221}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1236}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1232}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1230}
                    "content" => Illuminate\Database\Eloquent\Collection {#1233}
                    "next" => array:2 [
                      "refs" => "1424265"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424263"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1231}
                    "page" => array:2 [
                      "refs" => "1424384"
                      "type" => "book_page"
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                5 => App\Models\Task {#1241
                  #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" => 1424265
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_page_start" => "34"
                    "field_page_end" => null
                    "field_url" => "/9-klass/fizika/artemenkov-zadachnik/6-6"
                    "field_display_title" => "6.6"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1242
                      #items: array:1 [
                        0 => App\Models\Term {#1036}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_match" => null
                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1243
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1244
                      #items: array:1 [
                        0 => App\Models\Branch {#1045}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1245
                      #items: array:1 [
                        0 => App\Models\Branch {#1045}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "content" => Illuminate\Database\Eloquent\Collection {#1247
                      #items: array:2 [
                        0 => App\Models\Element {#1256 …30}
                        1 => App\Models\Element {#1258 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "next" => array:2 [
                      "refs" => "1424266"
                      "type" => "task"
                    ]
                    "previous" => array:2 [
                      "refs" => "1424264"
                      "type" => "task"
                    ]
                    "book" => Illuminate\Database\Eloquent\Collection {#1253
                      #items: array:1 [
                        0 => App\Models\Book {#1056}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "page" => array:2 [
                      "refs" => "1424384"
                      "type" => "book_page"
                    ]
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№6.5 (с. 34)
Условие. №6.5 (с. 34)
скриншот условия
Физика, 9 класс Задачник, авторы: Артеменков Денис Александрович, Ломаченков Иван Алексеевич, Панебратцев Юрий Анатольевич, издательство Просвещение, Москва, 2011, страница 34, номер 6.5, Условие

6.5 Показатели преломления для алмаза, стекла, воды, рубина равны соответственно 2,42; 1,55; 1,33; 1,76. Сравните скорости распространения света в указанных веществах. Определите значение скорости света в алмазе.

Решение. №6.5 (с. 34)

Дано:

Показатель преломления алмаза, $n_{алмаз} = 2,42$

Показатель преломления стекла, $n_{стекло} = 1,55$

Показатель преломления воды, $n_{вода} = 1,33$

Показатель преломления рубина, $n_{рубин} = 1,76$

Скорость света в вакууме, $c \approx 3 \cdot 10^8$ м/с (физическая константа)

Найти:

1. Сравнить скорости света в указанных веществах.

2. Значение скорости света в алмазе ($v_{алмаз}$).

Решение:

Абсолютный показатель преломления среды $n$ показывает, во сколько раз скорость света в вакууме $c$ больше скорости света в данной среде $v$. Он определяется по формуле:

$n = \frac{c}{v}$

Из этой формулы выразим скорость света в среде:

$v = \frac{c}{n}$

Из полученной зависимости следует, что скорость распространения света в веществе обратно пропорциональна его показателю преломления. Следовательно, чем больше показатель преломления, тем медленнее распространяется свет в данной среде.

Сравните скорости распространения света в указанных веществах

Для сравнения скоростей света в алмазе, стекле, воде и рубине, расположим их показатели преломления в порядке возрастания:

$n_{вода} (1,33) < n_{стекло} (1,55) < n_{рубин} (1,76) < n_{алмаз} (2,42)$

Так как скорость света обратно пропорциональна показателю преломления, то для скоростей будет выполняться обратное неравенство:

$v_{вода} > v_{стекло} > v_{рубин} > v_{алмаз}$

Таким образом, среди перечисленных веществ наибольшая скорость света будет в воде, а наименьшая — в алмазе.

Ответ: $v_{вода} > v_{стекло} > v_{рубин} > v_{алмаз}$.

Определите значение скорости света в алмазе

Чтобы найти скорость света в алмазе ($v_{алмаз}$), используем выведенную ранее формулу, подставив в нее значение скорости света в вакууме $c$ и показатель преломления алмаза $n_{алмаз}$.

$v_{алмаз} = \frac{c}{n_{алмаз}}$

Подставим числовые значения и выполним расчет:

$v_{алмаз} = \frac{3 \cdot 10^8 \text{ м/с}}{2,42} \approx 1,239669... \cdot 10^8 \text{ м/с}$

Округлим полученный результат до трех значащих цифр, так как исходные данные представлены с такой же точностью.

$v_{алмаз} \approx 1,24 \cdot 10^8 \text{ м/с}$

Ответ: Значение скорости света в алмазе составляет примерно $1,24 \cdot 10^8$ м/с.

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