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Задать вопрос экспертам

Консультация № 173654

25.10.2009, 12:06

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Образование

Здравствуйте, уважаемые эксперты! Помогите, пожалуйста, решить задачу:

7.16. Объяснить, почему представление о боровских орбитах несовместимо с принципом неопределенности.

Обсуждение

давно

Гордиенко Андрей Владимирович

Мастер-Эксперт
17387
18345

29.10.2009, 01:21

общий

это ответ

Здравствуйте, kot31.

Например, радиус первой боровской орбиты атома водорода r ≈ 0,5 ∙ 10^-10 м, а скорость электрона на этой орбите v ≈ 10⁶ м/с. Предположим, что скорость определена с точностью 10 %, т. е. ∆v = 10⁵ м/с. Тогда неопределенность координаты равна
∆x = h/(m∆v) ≈ 6,6 ∙ 10^-34/(9,1 ∙ 10^-31 ∙ 10⁵) ≈ 7 ∙ 10^-9 = 0,7 ∙ 10^-8 (м),
что на два порядка превышает радиус орбиты, трактуемой классически...

С уважением.

5

Об авторе:
Facta loquuntur.

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