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Задать вопрос экспертам

Консультация № 178387

14.05.2010, 18:31

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Образование

Здравствуйте, помогите пожалуйста решить задачу:
Определить энергию фотона, испускаемого атомом водорода при переходе электрона со второй орбиты на первую.

Обсуждение

давно

Киселев Виталий Сергеевич

Академик
324866
619

15.05.2010, 07:52

общий

это ответ

Здравствуйте, Чаркин Иван Александрович.
Энергия фотона:
e=hc/[$955$]
Формула Бальмера:
1/[$955$]=R(1/n₂²-1/n₁²)
e=hcR(1/n₂²-1/n₁²)
e=6.63*10^-34*3*10⁸*1.097*10⁷(1-1/4)=16.36*10^-19(Дж)=10,225(эВ)

5

давно

Гордиенко Андрей Владимирович

Мастер-Эксперт
17387
18346

15.05.2010, 08:30

общий

это ответ

Здравствуйте, Чаркин Иван Александрович.

Энергию E_ф испускаемого атомом водорода фотона, можно найти по формуле
E_ф = hcR’Z²(1/m² – 1/n²), (1)
где h – постоянная Планка, c – скорость света в вакууме, R’ – постоянная Ридберга, Z – заряд ядра.

Подставляя в формулу (1) значения h = 6,63 ∙ 10^-34 Дж ∙ с, c = 3 ∙ 10⁸ м/с, R’ = 1,10 ∙ 10⁷ м^-1, Z = 1, m = 1, n = 2, находим
E_ф = 6,63 ∙ 10^-34 ∙ 3 ∙ 10⁸ ∙ 1,10 ∙ 10⁷ ∙ 1² ∙ (1/1² – 1/2²) ≈ 16,4 ∙ 10^-19 (Дж) ≈ 10,3 эВ.

С уважением.

5

Об авторе:
Facta loquuntur.

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