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Номер 7.11, страница 39 - гдз по физике 9 класс задачник Артеменков, Ломаченков
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
Популярные ГДЗ в 9 классе
VII. Квантовые явления - номер 7.11, страница 39.
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" => 1424302 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-11" "field_display_title" => "7.11" "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: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #original: array:6 [ "id" => 26 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "номер" "field_cases" => array:6 [ "field_accusative_case" => "номер" "field_creative_case" => "номером" "field_dative_case" => "номеру" "field_genitive_case" => "номера" "field_nominative_case" => "номер" "field_prepositional_case" => "номере" ] "field_short_name" => "№" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_match" => null "breadcrumbs" => [] "edition_groups" => Illuminate\Database\Eloquent\Collection {#1035 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1046 #items: array:1 [ 0 => App\Models\Branch {#1045 #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" => 1424070 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "VII. Квантовые явления" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1047 #items: [] #escapeWhenCastingToString: false } "field_page_start" => "38" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1081 #items: array:1 [ 0 => App\Models\Book {#1048 #connection: "mysql" #table: "books" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: 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 {#1050 #items: array:1 [ 0 => App\Models\Term {#1049 #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" => 6493 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Физика" "field_abbreviated_name" => null "field_cases" => array:6 [ "field_accusative_case" => "физику" "field_creative_case" => "физикой" "field_dative_case" => "физике" "field_genitive_case" => "физики" "field_nominative_case" => "физика" "field_prepositional_case" => "физике" ] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "fizika" ] #original: array:10 [ "id" => 6493 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Физика" "field_abbreviated_name" => null "field_cases" => array:6 [ "field_accusative_case" => "физику" "field_creative_case" => "физикой" "field_dative_case" => "физике" "field_genitive_case" => "физики" "field_nominative_case" => "физика" "field_prepositional_case" => "физике" ] "field_foreign_lang_name" => null "field_short_name" => null "field_subject_type" => "technical_subject" "field_translit" => "fizika" ] #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_class" => Illuminate\Database\Eloquent\Collection {#1051 #items: array:1 [ 0 => App\Models\Term {#1052 #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" => 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" ] #original: 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" ] #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 {#1053 #items: array:1 [ 0 => App\Models\Term {#1054 #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 {#1055 #items: array:3 [ 0 => App\Models\Term {#1056 #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" => 3745 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Артеменков" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Денис" "field_patronymic" => "Александрович" "field_surname_rp" => null ] #original: array:12 [ "id" => 3745 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Артеменков" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Денис" "field_patronymic" => "Александрович" "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 {#1057 #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" => 5014 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Ломаченков" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Иван" "field_patronymic" => "Алексеевич" "field_surname_rp" => null ] #original: array:12 [ "id" => 5014 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Ломаченков" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Иван" "field_patronymic" => "Алексеевич" "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 => "*" ] } 2 => App\Models\Term {#1058 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:12 [ "id" => 5412 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Панебратцев" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Юрий" "field_patronymic" => "Анатольевич" "field_surname_rp" => "Панебратцева" ] #original: array:12 [ "id" => 5412 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Панебратцев" "field_bio" => null "field_degree_rp" => null "field_foreign_lang_name" => null "field_foreign_lang_patronymic" => null "field_foreign_lang_surname" => null "field_name" => "Юрий" "field_patronymic" => "Анатольевич" "field_surname_rp" => "Панебратцева" ] #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 {#1059 #items: [] #escapeWhenCastingToString: false } "field_book_type" => Illuminate\Database\Eloquent\Collection {#1060 #items: array:1 [ 0 => App\Models\Term {#1061 #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" => 6518 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Задачник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "задачник" "field_creative_case" => "задачником" "field_dative_case" => "задачнику" "field_genitive_case" => "задачника" "field_nominative_case" => "задачник" "field_prepositional_case" => "задачнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "zadachnik" ] #original: array:10 [ "id" => 6518 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "Задачник" "field_book_type_foreign" => null "field_cases" => array:6 [ "field_accusative_case" => "задачник" "field_creative_case" => "задачником" "field_dative_case" => "задачнику" "field_genitive_case" => "задачника" "field_nominative_case" => "задачник" "field_prepositional_case" => "задачнике" ] "field_plural_form" => null "field_short_name" => null "field_short_name_foreign" => null "field_translit" => "zadachnik" ] #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 {#1062 #items: array:1 [ 0 => App\Models\Term {#1063 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 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 {#1064 #items: array:1 [ 0 => App\Models\Term {#1065 #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 {#1066 #items: array:1 [ 0 => App\Models\Term {#1067 #connection: "mysql" #table: "terms" #primaryKey: "id" #keyType: "int" +incrementing: false #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:8 [ "id" => 4795 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "сферы" "field_cases" => null "field_foreign_lang_series" => null "field_transcription_eng" => null "field_translit" => "sfery" ] #original: array:8 [ "id" => 4795 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "сферы" "field_cases" => null "field_foreign_lang_series" => null "field_transcription_eng" => null "field_translit" => "sfery" ] #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_umk" => Illuminate\Database\Eloquent\Collection {#1068 #items: [] #escapeWhenCastingToString: false } "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1069 #items: [] #escapeWhenCastingToString: false } "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1070 #items: [] #escapeWhenCastingToString: false } "field_publication_number" => "2" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1071 #items: array:1 [ 0 => App\Models\Term {#1072 #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" => 37 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "name" => "переработанное и дополненное" "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 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 [ "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 i dopolnennoe" ] #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 {#1073 #items: array:1 [ 0 => App\Models\Term {#1058} ] #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 "field_reserve_field" => null "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 {#1074 #items: [] #escapeWhenCastingToString: false } "field_new_book" => Illuminate\Database\Eloquent\Collection {#1075 #items: [] #escapeWhenCastingToString: false } "field_old_book" => Illuminate\Database\Eloquent\Collection {#1076 #items: [] #escapeWhenCastingToString: false } "field_url" => "/9-klass/fizika/artemenkov-zadachnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1077 #items: array:1 [ 0 => App\Models\Term {#1078 #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 "field_dative_case" => null "field_genitive_case" => null "field_nominative_case" => null "field_prepositional_case" => null ] "field_translit" => "siniy" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 380 "subject" => 556 "class_subject" => 493 ] ] #original: array:50 [ "id" => 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 {#1050} "field_class" => Illuminate\Database\Eloquent\Collection {#1051} "field_publisher" => Illuminate\Database\Eloquent\Collection {#1053} "field_author" => Illuminate\Database\Eloquent\Collection {#1055} "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1059} "field_book_type" => Illuminate\Database\Eloquent\Collection {#1060} "field_country" => Illuminate\Database\Eloquent\Collection {#1062} "field_city" => Illuminate\Database\Eloquent\Collection {#1064} "field_series" => Illuminate\Database\Eloquent\Collection {#1066} "field_umk" => Illuminate\Database\Eloquent\Collection {#1068} "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1069} "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1070} "field_publication_number" => "2" "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1071} "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1073} "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 "field_reserve_field" => null "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 {#1074} "field_new_book" => Illuminate\Database\Eloquent\Collection {#1075} "field_old_book" => Illuminate\Database\Eloquent\Collection {#1076} "field_url" => "/9-klass/fizika/artemenkov-zadachnik" "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1077} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "breadcrumbs" => array:3 [ "class" => 380 "subject" => 556 "class_subject" => 493 ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "branch_parent" => Illuminate\Database\Eloquent\Collection {#1079 #items: [] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1424070 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_display_title" => "VII. Квантовые явления" "field_branch_order" => null "field_url" => null "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1047} "field_page_start" => "38" "field_branch_display" => "0" "field_branch_expanded" => "0" "field_display_branch_in_title" => "1" "field_display_task_interval" => "0" "field_display_branch_page" => "1" "field_branch_title_in_content" => "0" "field_navigation_title" => null "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "field_branch_cover" => [] "field_branch_covers" => [] "book" => Illuminate\Database\Eloquent\Collection {#1081} "branch_parent" => Illuminate\Database\Eloquent\Collection {#1079} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1038 #items: array:1 [ 0 => App\Models\Branch {#1045} ] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1034 #items: array:2 [ 0 => App\Models\Element {#1085 #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" => 1673920 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1094 #items: array:1 [ 0 => App\Models\Edition {#1086 #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" => 5990 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Условие" "field_order" => "1" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1088 #items: array:1 [ …1] #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 {#1089 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1090 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1091 #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 {#1088} "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 {#1089} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1090} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1091} "field_content_source" => 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 } "task" => array:2 [ "refs" => "1424302" "type" => "task" ] "text" => "<p><strong>7.11</strong> Определите частоту излучения атома водорода при переходе электрона со второй орбиты на первую (см. рис. 26), с третьей орбиты на первую.</p><p>Рис. 26</p>" "img" => array:2 [ 0 => array:5 [ "name" => "11-1.jpg" "alt" => null "width" => "1726" "height" => 279 "path" => "/media/fizika_09/artemenkov-z/0-7/11-1.webp?ts=1758726431" ] 1 => array:5 [ "name" => "11-2.jpg" "alt" => null "width" => "617" "height" => 697 "path" => "/media/fizika_09/artemenkov-z/0-7/11-2.webp?ts=1758726431" ] ] ] #original: array:7 [ "id" => 1673920 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1094} "task" => array:2 [ "refs" => "1424302" "type" => "task" ] "text" => "<p><strong>7.11</strong> Определите частоту излучения атома водорода при переходе электрона со второй орбиты на первую (см. рис. 26), с третьей орбиты на первую.</p><p>Рис. 26</p>" "img" => array:2 [ 0 => array:5 [ "name" => "11-1.jpg" "alt" => null "width" => "1726" "height" => 279 "path" => "/media/fizika_09/artemenkov-z/0-7/11-1.webp?ts=1758726431" ] 1 => array:5 [ "name" => "11-2.jpg" "alt" => null "width" => "617" "height" => 697 "path" => "/media/fizika_09/artemenkov-z/0-7/11-2.webp?ts=1758726431" ] ] ] #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\Element {#1092 #connection: "mysql" #table: "elements" #primaryKey: "id" #keyType: "int" +incrementing: true #with: [] #withCount: [] +preventsLazyLoading: false #perPage: 15 +exists: true +wasRecentlyCreated: false #escapeWhenCastingToString: false #attributes: array:6 [ "id" => 1695462 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1102 #items: array:1 [ 0 => App\Models\Edition {#1093 #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" => 6166 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1096 #items: array:1 [ …1] #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 {#1097 #items: [] #escapeWhenCastingToString: false } "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1098 #items: [] #escapeWhenCastingToString: false } "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1099 #items: [] #escapeWhenCastingToString: false } "field_content_source" => null ] #original: array:21 [ "id" => 6166 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "title" => "Решение" "field_order" => "2" "field_publisher" => Illuminate\Database\Eloquent\Collection {#1096} "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 {#1097} "field_comment" => null "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1098} "field_process_formula" => "katex" "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1099} "field_content_source" => 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 } "task" => array:2 [ "refs" => "1424302" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>Энергетические уровни атома водорода (согласно рис. 26):</p><p>$E_1 = -13,6$ эВ</p><p>$E_2 = -3,4$ эВ</p><p>$E_3 = -1,5$ эВ</p><p>Постоянная Планка $h \approx 6,63 \cdot 10^{-34}$ Дж·с</p><p>Коэффициент перевода эВ в Дж: $1 \text{ эВ} = 1,6 \cdot 10^{-19}$ Дж</p><p>Перевод в систему СИ:</p><p>$E_1 = -13,6 \cdot 1,6 \cdot 10^{-19} \text{ Дж} = -21,76 \cdot 10^{-19}$ Дж</p><p>$E_2 = -3,4 \cdot 1,6 \cdot 10^{-19} \text{ Дж} = -5,44 \cdot 10^{-19}$ Дж</p><p>$E_3 = -1,5 \cdot 1,6 \cdot 10^{-19} \text{ Дж} = -2,4 \cdot 10^{-19}$ Дж</p><p><strong>Найти:</strong></p><p>$\nu_{21} - ?$</p><p>$\nu_{31} - ?$</p><p><strong>Решение:</strong></p><p>Согласно второму постулату Бора, при переходе электрона с более высокого энергетического уровня $E_k$ на более низкий уровень $E_n$ излучается фотон. Энергия этого фотона $\Delta E$ равна разности энергий стационарных состояний:</p><p>$\Delta E = E_k - E_n$</p><p>Энергия фотона также связана с частотой излучения $\nu$ через формулу Планка:</p><p>$\Delta E = h\nu$</p><p>Приравнивая правые части этих уравнений, мы можем выразить искомую частоту:</p><p>$\nu = \frac{E_k - E_n}{h}$</p><p><strong>При переходе электрона со второй орбиты на первую</strong></p><p>Для данного перехода начальный энергетический уровень $k=2$, а конечный $n=1$.</p><p>Найдем энергию излучённого фотона:</p><p>$\Delta E_{21} = E_2 - E_1 = (-3,4 \text{ эВ}) - (-13,6 \text{ эВ}) = 10,2$ эВ.</p><p>Переведем эту энергию в систему СИ (Джоули):</p><p>$\Delta E_{21} = 10,2 \text{ эВ} \cdot 1,6 \cdot 10^{-19} \frac{\text{Дж}}{\text{эВ}} = 16,32 \cdot 10^{-19}$ Дж.</p><p>Теперь можно рассчитать частоту излучения:</p><p>$\nu_{21} = \frac{\Delta E_{21}}{h} = \frac{16,32 \cdot 10^{-19} \text{ Дж}}{6,63 \cdot 10^{-34} \text{ Дж} \cdot \text{с}} \approx 2,46 \cdot 10^{15}$ Гц.</p><p><strong>Ответ:</strong> $\nu_{21} \approx 2,46 \cdot 10^{15}$ Гц.</p><p><strong>При переходе электрона с третьей орбиты на первую</strong></p><p>Для данного перехода начальный энергетический уровень $k=3$, а конечный $n=1$.</p><p>Найдем энергию излучённого фотона:</p><p>$\Delta E_{31} = E_3 - E_1 = (-1,5 \text{ эВ}) - (-13,6 \text{ эВ}) = 12,1$ эВ.</p><p>Переведем эту энергию в систему СИ (Джоули):</p><p>$\Delta E_{31} = 12,1 \text{ эВ} \cdot 1,6 \cdot 10^{-19} \frac{\text{Дж}}{\text{эВ}} = 19,36 \cdot 10^{-19}$ Дж.</p><p>Рассчитаем частоту излучения:</p><p>$\nu_{31} = \frac{\Delta E_{31}}{h} = \frac{19,36 \cdot 10^{-19} \text{ Дж}}{6,63 \cdot 10^{-34} \text{ Дж} \cdot \text{с}} \approx 2,92 \cdot 10^{15}$ Гц.</p><p><strong>Ответ:</strong> $\nu_{31} \approx 2,92 \cdot 10^{15}$ Гц.</p>" ] #original: array:6 [ "id" => 1695462 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1102} "task" => array:2 [ "refs" => "1424302" "type" => "task" ] "text" => "<p><strong>Дано:</strong></p><p>Энергетические уровни атома водорода (согласно рис. 26):</p><p>$E_1 = -13,6$ эВ</p><p>$E_2 = -3,4$ эВ</p><p>$E_3 = -1,5$ эВ</p><p>Постоянная Планка $h \approx 6,63 \cdot 10^{-34}$ Дж·с</p><p>Коэффициент перевода эВ в Дж: $1 \text{ эВ} = 1,6 \cdot 10^{-19}$ Дж</p><p>Перевод в систему СИ:</p><p>$E_1 = -13,6 \cdot 1,6 \cdot 10^{-19} \text{ Дж} = -21,76 \cdot 10^{-19}$ Дж</p><p>$E_2 = -3,4 \cdot 1,6 \cdot 10^{-19} \text{ Дж} = -5,44 \cdot 10^{-19}$ Дж</p><p>$E_3 = -1,5 \cdot 1,6 \cdot 10^{-19} \text{ Дж} = -2,4 \cdot 10^{-19}$ Дж</p><p><strong>Найти:</strong></p><p>$\nu_{21} - ?$</p><p>$\nu_{31} - ?$</p><p><strong>Решение:</strong></p><p>Согласно второму постулату Бора, при переходе электрона с более высокого энергетического уровня $E_k$ на более низкий уровень $E_n$ излучается фотон. Энергия этого фотона $\Delta E$ равна разности энергий стационарных состояний:</p><p>$\Delta E = E_k - E_n$</p><p>Энергия фотона также связана с частотой излучения $\nu$ через формулу Планка:</p><p>$\Delta E = h\nu$</p><p>Приравнивая правые части этих уравнений, мы можем выразить искомую частоту:</p><p>$\nu = \frac{E_k - E_n}{h}$</p><p><strong>При переходе электрона со второй орбиты на первую</strong></p><p>Для данного перехода начальный энергетический уровень $k=2$, а конечный $n=1$.</p><p>Найдем энергию излучённого фотона:</p><p>$\Delta E_{21} = E_2 - E_1 = (-3,4 \text{ эВ}) - (-13,6 \text{ эВ}) = 10,2$ эВ.</p><p>Переведем эту энергию в систему СИ (Джоули):</p><p>$\Delta E_{21} = 10,2 \text{ эВ} \cdot 1,6 \cdot 10^{-19} \frac{\text{Дж}}{\text{эВ}} = 16,32 \cdot 10^{-19}$ Дж.</p><p>Теперь можно рассчитать частоту излучения:</p><p>$\nu_{21} = \frac{\Delta E_{21}}{h} = \frac{16,32 \cdot 10^{-19} \text{ Дж}}{6,63 \cdot 10^{-34} \text{ Дж} \cdot \text{с}} \approx 2,46 \cdot 10^{15}$ Гц.</p><p><strong>Ответ:</strong> $\nu_{21} \approx 2,46 \cdot 10^{15}$ Гц.</p><p><strong>При переходе электрона с третьей орбиты на первую</strong></p><p>Для данного перехода начальный энергетический уровень $k=3$, а конечный $n=1$.</p><p>Найдем энергию излучённого фотона:</p><p>$\Delta E_{31} = E_3 - E_1 = (-1,5 \text{ эВ}) - (-13,6 \text{ эВ}) = 12,1$ эВ.</p><p>Переведем эту энергию в систему СИ (Джоули):</p><p>$\Delta E_{31} = 12,1 \text{ эВ} \cdot 1,6 \cdot 10^{-19} \frac{\text{Дж}}{\text{эВ}} = 19,36 \cdot 10^{-19}$ Дж.</p><p>Рассчитаем частоту излучения:</p><p>$\nu_{31} = \frac{\Delta E_{31}}{h} = \frac{19,36 \cdot 10^{-19} \text{ Дж}}{6,63 \cdot 10^{-34} \text{ Дж} \cdot \text{с}} \approx 2,92 \cdot 10^{15}$ Гц.</p><p><strong>Ответ:</strong> $\nu_{31} \approx 2,92 \cdot 10^{15}$ Гц.</p>" ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true 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"updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1114 #items: array:1 [ …1] #escapeWhenCastingToString: false } "book_page" => array:2 [ "refs" => "1424389" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ …5] ] ] #original: array:6 [ "id" => 1674199 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "edition" => Illuminate\Database\Eloquent\Collection {#1114} "book_page" => array:2 [ "refs" => "1424389" "type" => "book_page" ] "img" => array:1 [ 0 => array:5 [ …5] ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1424390" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1424388" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1287 #items: array:10 [ 0 => App\Models\Task {#1303 #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" => 1424302 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-11" "field_display_title" => "7.11" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1304 #items: array:1 [ …1] #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 {#1305 #items: [] 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[] #guarded: array:1 [ 0 => "*" ] } 1 => App\Models\Task {#1310 #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" => 1424303 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-12" "field_display_title" => "7.12" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1311 #items: array:1 [ …1] #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 {#1312 #items: [] #escapeWhenCastingToString: false 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[] #guarded: array:1 [ 0 => "*" ] } 2 => App\Models\Task {#1317 #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" => 1424304 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-13" "field_display_title" => "7.13" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1315 #items: array:1 [ …1] #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 {#1324 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1320 #items: array:1 [ …1] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1318 #items: array:1 [ …1] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1319 #items: array:2 [ …2] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1424305" "type" => "task" ] "previous" => array:2 [ "refs" => "1424303" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1334 #items: array:1 [ …1] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1424389" "type" => "book_page" ] ] #original: array:24 [ "id" => 1424304 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-13" "field_display_title" => "7.13" "field_outside_task" => null "field_task_type" => 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[] #guarded: array:1 [ 0 => "*" ] } 3 => App\Models\Task {#1329 #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" => 1424305 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-14" "field_display_title" => "7.14" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1321 #items: array:1 [ …1] #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 {#1336 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1332 #items: array:1 [ …1] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1330 #items: array:1 [ …1] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1331 #items: array:2 [ …2] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1424306" "type" => "task" ] "previous" => array:2 [ "refs" => "1424304" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1346 #items: array:1 [ …1] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1424389" "type" => "book_page" ] ] #original: array:24 [ "id" => 1424305 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-14" "field_display_title" => "7.14" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1321} "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 {#1336} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1332} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1330} "content" => Illuminate\Database\Eloquent\Collection {#1331} "next" => array:2 [ "refs" => "1424306" "type" => "task" ] "previous" => array:2 [ "refs" => "1424304" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1346} "page" => array:2 [ "refs" => "1424389" "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 {#1341 #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" => 1424306 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-15" "field_display_title" => "7.15" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1333 #items: array:1 [ …1] #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 {#1348 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1344 #items: array:1 [ …1] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1342 #items: array:1 [ …1] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1367 #items: array:2 [ …2] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1424307" "type" => "task" ] "previous" => array:2 [ "refs" => "1424305" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1369 #items: array:1 [ …1] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1424389" "type" => "book_page" ] ] #original: array:24 [ "id" => 1424306 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-15" "field_display_title" => "7.15" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1333} "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 {#1348} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1344} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1342} "content" => Illuminate\Database\Eloquent\Collection {#1367} "next" => array:2 [ "refs" => "1424307" "type" => "task" ] "previous" => array:2 [ "refs" => "1424305" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1369} "page" => array:2 [ "refs" => "1424389" "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 {#1368 #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" => 1424307 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-16" "field_display_title" => "7.16" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1370 #items: array:1 [ …1] #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 {#1371 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1372 #items: array:1 [ …1] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1373 #items: array:1 [ …1] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1384 #items: array:2 [ …2] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1424308" "type" => "task" ] "previous" => array:2 [ "refs" => "1424306" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1389 #items: array:1 [ …1] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1424389" "type" => "book_page" ] ] #original: array:24 [ "id" => 1424307 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-16" "field_display_title" => "7.16" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1370} "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 {#1371} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1372} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1373} "content" => Illuminate\Database\Eloquent\Collection {#1384} "next" => array:2 [ "refs" => "1424308" "type" => "task" ] "previous" => array:2 [ "refs" => "1424306" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1389} "page" => array:2 [ "refs" => "1424389" "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 => "*" ] } 6 => App\Models\Task {#1374 #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" => 1424308 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-17" "field_display_title" => "7.17" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1376 #items: array:1 [ …1] #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 {#1375 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1381 #items: array:1 [ …1] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1380 #items: array:1 [ …1] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1396 #items: array:2 [ …2] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1424309" "type" => "task" ] "previous" => array:2 [ "refs" => "1424307" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1401 #items: array:1 [ …1] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1424389" "type" => "book_page" ] ] #original: array:24 [ "id" => 1424308 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-17" "field_display_title" => "7.17" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1376} "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 {#1375} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1381} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1380} "content" => Illuminate\Database\Eloquent\Collection {#1396} "next" => array:2 [ "refs" => "1424309" "type" => "task" ] "previous" => array:2 [ "refs" => "1424307" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1401} "page" => array:2 [ "refs" => "1424389" "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 => "*" ] } 7 => App\Models\Task {#1379 #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" => 1424309 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-18" "field_display_title" => "7.18" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1378 #items: array:1 [ …1] #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 {#1377 #items: [] #escapeWhenCastingToString: false } "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1385 #items: array:1 [ …1] #escapeWhenCastingToString: false } "parent_branches" => Illuminate\Database\Eloquent\Collection {#1387 #items: array:1 [ …1] #escapeWhenCastingToString: false } "content" => Illuminate\Database\Eloquent\Collection {#1408 #items: array:2 [ …2] #escapeWhenCastingToString: false } "next" => array:2 [ "refs" => "1424310" "type" => "task" ] "previous" => array:2 [ "refs" => "1424308" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1413 #items: array:1 [ …1] #escapeWhenCastingToString: false } "page" => array:2 [ "refs" => "1424389" "type" => "book_page" ] ] #original: array:24 [ "id" => 1424309 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-18" "field_display_title" => "7.18" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1378} "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 {#1377} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1385} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1387} "content" => Illuminate\Database\Eloquent\Collection {#1408} "next" => array:2 [ "refs" => "1424310" "type" => "task" ] "previous" => array:2 [ "refs" => "1424308" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1413} "page" => array:2 [ "refs" => "1424389" …1 ] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 8 => App\Models\Task {#1391 #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" => 1424310 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-19" "field_display_title" => "7.19" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1382 …2} "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 {#1383 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1397 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1399 …2} "content" => Illuminate\Database\Eloquent\Collection {#1420 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1425 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1424310 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-19" "field_display_title" => "7.19" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1382 …2} "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 {#1383 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1397 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1399 …2} "content" => Illuminate\Database\Eloquent\Collection {#1420 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1425 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } 9 => App\Models\Task {#1403 #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" => 1424311 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => "40" "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-20" "field_display_title" => "7.20" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#1388 …2} "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 {#1386 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1409 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1411 …2} "content" => Illuminate\Database\Eloquent\Collection {#1432 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1437 …2} "page" => array:2 [ …2] ] #original: array:24 [ "id" => 1424311 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => "40" "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-20" "field_display_title" => "7.20" "field_outside_task" => "0" "field_task_type" => Illuminate\Database\Eloquent\Collection {#1388 …2} "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 {#1386 …2} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1409 …2} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1411 …2} "content" => Illuminate\Database\Eloquent\Collection {#1432 …2} "next" => array:2 [ …2] "previous" => array:2 [ …2] "book" => Illuminate\Database\Eloquent\Collection {#1437 …2} "page" => array:2 [ …2] ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } ] #original: array:21 [ "id" => 1424389 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_url" => "/9-klass/fizika/artemenkov-zadachnik/page-39" "field_display_title" => "39" "field_folder" => "1" "field_image_name" => "39" "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1100} "field_weight" => "0" "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1101} "field_metatags_title" => null "field_metatags_description" => null "field_h1" => null "field_description_top" => null "field_description_bottom" => null "edition_groups" => Illuminate\Database\Eloquent\Collection {#1103} "content" => Illuminate\Database\Eloquent\Collection {#1113} "next" => array:2 [ "refs" => "1424390" "type" => "book_page" ] "previous" => array:2 [ "refs" => "1424388" "type" => "book_page" ] "tasks" => Illuminate\Database\Eloquent\Collection {#1287} ] #changes: [] #casts: [] #classCastCache: [] #attributeCastCache: [] #dateFormat: null #appends: [] #dispatchesEvents: [] #observables: [] #relations: [] #touches: [] +timestamps: true +usesUniqueIds: false #hidden: [] #visible: [] #fillable: [] #guarded: array:1 [ 0 => "*" ] } ] #escapeWhenCastingToString: false } ] #original: array:24 [ "id" => 1424302 "created_at" => "2026-04-10 13:58:26" "updated_at" => null "field_page_start" => "39" "field_page_end" => null "field_url" => "/9-klass/fizika/artemenkov-zadachnik/7-11" "field_display_title" => "7.11" "field_outside_task" => null "field_task_type" => Illuminate\Database\Eloquent\Collection {#1037} "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 {#1035} "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1046} "parent_branches" => Illuminate\Database\Eloquent\Collection {#1038} "content" => Illuminate\Database\Eloquent\Collection {#1034} "next" => array:2 [ "refs" => "1424303" "type" => "task" ] "previous" => array:2 [ "refs" => "1424301" "type" => "task" ] "book" => Illuminate\Database\Eloquent\Collection {#1082} "page" => array:2 [ "refs" => "1424389" "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 => "*" ] }
№7.11 (с. 39)
Условие. №7.11 (с. 39)
скриншот условия
7.11 Определите частоту излучения атома водорода при переходе электрона со второй орбиты на первую (см. рис. 26), с третьей орбиты на первую.
Рис. 26
Решение. №7.11 (с. 39)
Дано:
Энергетические уровни атома водорода (согласно рис. 26):
$E_1 = -13,6$ эВ
$E_2 = -3,4$ эВ
$E_3 = -1,5$ эВ
Постоянная Планка $h \approx 6,63 \cdot 10^{-34}$ Дж·с
Коэффициент перевода эВ в Дж: $1 \text{ эВ} = 1,6 \cdot 10^{-19}$ Дж
Перевод в систему СИ:
$E_1 = -13,6 \cdot 1,6 \cdot 10^{-19} \text{ Дж} = -21,76 \cdot 10^{-19}$ Дж
$E_2 = -3,4 \cdot 1,6 \cdot 10^{-19} \text{ Дж} = -5,44 \cdot 10^{-19}$ Дж
$E_3 = -1,5 \cdot 1,6 \cdot 10^{-19} \text{ Дж} = -2,4 \cdot 10^{-19}$ Дж
Найти:
$\nu_{21} - ?$
$\nu_{31} - ?$
Решение:
Согласно второму постулату Бора, при переходе электрона с более высокого энергетического уровня $E_k$ на более низкий уровень $E_n$ излучается фотон. Энергия этого фотона $\Delta E$ равна разности энергий стационарных состояний:
$\Delta E = E_k - E_n$
Энергия фотона также связана с частотой излучения $\nu$ через формулу Планка:
$\Delta E = h\nu$
Приравнивая правые части этих уравнений, мы можем выразить искомую частоту:
$\nu = \frac{E_k - E_n}{h}$
При переходе электрона со второй орбиты на первую
Для данного перехода начальный энергетический уровень $k=2$, а конечный $n=1$.
Найдем энергию излучённого фотона:
$\Delta E_{21} = E_2 - E_1 = (-3,4 \text{ эВ}) - (-13,6 \text{ эВ}) = 10,2$ эВ.
Переведем эту энергию в систему СИ (Джоули):
$\Delta E_{21} = 10,2 \text{ эВ} \cdot 1,6 \cdot 10^{-19} \frac{\text{Дж}}{\text{эВ}} = 16,32 \cdot 10^{-19}$ Дж.
Теперь можно рассчитать частоту излучения:
$\nu_{21} = \frac{\Delta E_{21}}{h} = \frac{16,32 \cdot 10^{-19} \text{ Дж}}{6,63 \cdot 10^{-34} \text{ Дж} \cdot \text{с}} \approx 2,46 \cdot 10^{15}$ Гц.
Ответ: $\nu_{21} \approx 2,46 \cdot 10^{15}$ Гц.
При переходе электрона с третьей орбиты на первую
Для данного перехода начальный энергетический уровень $k=3$, а конечный $n=1$.
Найдем энергию излучённого фотона:
$\Delta E_{31} = E_3 - E_1 = (-1,5 \text{ эВ}) - (-13,6 \text{ эВ}) = 12,1$ эВ.
Переведем эту энергию в систему СИ (Джоули):
$\Delta E_{31} = 12,1 \text{ эВ} \cdot 1,6 \cdot 10^{-19} \frac{\text{Дж}}{\text{эВ}} = 19,36 \cdot 10^{-19}$ Дж.
Рассчитаем частоту излучения:
$\nu_{31} = \frac{\Delta E_{31}}{h} = \frac{19,36 \cdot 10^{-19} \text{ Дж}}{6,63 \cdot 10^{-34} \text{ Дж} \cdot \text{с}} \approx 2,92 \cdot 10^{15}$ Гц.
Ответ: $\nu_{31} \approx 2,92 \cdot 10^{15}$ Гц.
Другие задания:
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