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Консультация № 195154
06.04.2019, 19:06
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Атом водорода находится в возбужденном состоянии с главным квантовым числом 3. падающий фотон выбивает из атома электрон, сообщая ему кинетическую энергию 2.5 эВ. найти энергию падающего фотона.
Я так понимаю, что тут нужно использовать формулу Эйнштейна для фотоэффекта Е = Ав + Ек. Это единственное, что я пока понял :D
Заранее спасибо!
Атом водорода находится в возбужденном состоянии с главным квантовым числом 3. падающий фотон выбивает из атома электрон, сообщая ему кинетическую энергию 2.5 эВ. найти энергию падающего фотона.
Я так понимаю, что тут нужно использовать формулу Эйнштейна для фотоэффекта Е = Ав + Ек. Это единственное, что я пока понял :D
Заранее спасибо!
Обсуждение
07.04.2019, 07:53
общий
это ответ
Здравствуйте, Денис!
Если атом водорода находится в возбуждённом состоянии, которое характеризуется главным квантовым числом n=3, то полная энергия электрона составляет E3=E1/n2=-13,6/32=-13,6/9 (эВ). При этом она равна сумме кинетической энергии движения электрона по орбите и потенциальной энергии в электрическом поле ядра. Если электрон выбит из атома, то его потенциальная энергия равна нулю (ибо n=[$8734$]), полная энергия равна кинетической.
В Вашем случае, согласно закону сохранения энергии, сумма полной энергии электрона при n=3 и энергии падающего фотона равна полной энергии выбитого электрона, то есть -13,6/9+Eф=2,5, откуда получим, что энергия падающего фотона Eф=13,6/9+2,5[$8776$]4,0 (эВ).
Если атом водорода находится в возбуждённом состоянии, которое характеризуется главным квантовым числом n=3, то полная энергия электрона составляет E3=E1/n2=-13,6/32=-13,6/9 (эВ). При этом она равна сумме кинетической энергии движения электрона по орбите и потенциальной энергии в электрическом поле ядра. Если электрон выбит из атома, то его потенциальная энергия равна нулю (ибо n=[$8734$]), полная энергия равна кинетической.
В Вашем случае, согласно закону сохранения энергии, сумма полной энергии электрона при n=3 и энергии падающего фотона равна полной энергии выбитого электрона, то есть -13,6/9+Eф=2,5, откуда получим, что энергия падающего фотона Eф=13,6/9+2,5[$8776$]4,0 (эВ).
Об авторе:
Facta loquuntur.
Facta loquuntur.
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