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Консультация № 176326
26.01.2010, 18:33
43.34 руб.
0
2
1
Здраствуйте!
Помогите пожалуйста!
1 Атом водорода поглощает фотон, вследствии чего электрон, находившийся на второй боровской орбите, вылетел из атома со скоростью 6*10^5 м/с. Определить частоту фотона.
2 Найти длину волны электрона, движущегося по круговой орьите в атоме водорода, находящегося в первом возбужденном состоянии.
Заранее огромное спасибо!
Помогите пожалуйста!
1 Атом водорода поглощает фотон, вследствии чего электрон, находившийся на второй боровской орбите, вылетел из атома со скоростью 6*10^5 м/с. Определить частоту фотона.
2 Найти длину волны электрона, движущегося по круговой орьите в атоме водорода, находящегося в первом возбужденном состоянии.
Заранее огромное спасибо!
Обсуждение
29.01.2010, 16:51
общий
это ответ
Здравствуйте, Annettik.
1. Энергия Wф фотона расходуется на ионизацию атома водорода и увеличение кинетической энергии электрона:
Wф = Ei + mev2/2. Энергия ионизации равна Ei = hνi, ∞ = hR(1/m2 – 1/∞2) = hR/m2. Следовательно,
hνф = hR/m2 + mev2/2, νф = R/m2 + mev2/(2h), что после подстановки числовых значений дает
νф = 3,29 • 1015/22 + 9,11 • 10-31 • (6 • 105)2/(2 • 6,63 • 10-34) ≈ 1,07 • 1015 (с-1).
Ответ: 1,07 • 1015 с-1.
2. Согласно теории Бора, для дискретного спектра энергетических уровней имеет место следующее соотношение: nλ = 2πr, где λ - дебройлевская длина волны электрона, движущегося со скоростью, соответствующей радиусу круговой орбиты r, n – главное квантовое число. При этом r = n2rБ. Отсюда получаем λ = 2πnrБ, что после подстановки числовых значений дает
λ = 2π • 2 • 5,28 • 10-11 ≈ 3,3 • 10-10 (м).
Ответ: 3,3 • 10-10 м.
С уважением.
1. Энергия Wф фотона расходуется на ионизацию атома водорода и увеличение кинетической энергии электрона:
Wф = Ei + mev2/2. Энергия ионизации равна Ei = hνi, ∞ = hR(1/m2 – 1/∞2) = hR/m2. Следовательно,
hνф = hR/m2 + mev2/2, νф = R/m2 + mev2/(2h), что после подстановки числовых значений дает
νф = 3,29 • 1015/22 + 9,11 • 10-31 • (6 • 105)2/(2 • 6,63 • 10-34) ≈ 1,07 • 1015 (с-1).
Ответ: 1,07 • 1015 с-1.
2. Согласно теории Бора, для дискретного спектра энергетических уровней имеет место следующее соотношение: nλ = 2πr, где λ - дебройлевская длина волны электрона, движущегося со скоростью, соответствующей радиусу круговой орбиты r, n – главное квантовое число. При этом r = n2rБ. Отсюда получаем λ = 2πnrБ, что после подстановки числовых значений дает
λ = 2π • 2 • 5,28 • 10-11 ≈ 3,3 • 10-10 (м).
Ответ: 3,3 • 10-10 м.
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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