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Консультация № 194785
24.02.2019, 13:29
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1
Здравствуйте! Прошу помощи в следующем вопросе:
Во сколько раз различаются длины волн де Бройля протона и электрона, если они имеют одинаковую кинетическую энергию T=0,511 МэВ?
Во сколько раз различаются длины волн де Бройля протона и электрона, если они имеют одинаковую кинетическую энергию T=0,511 МэВ?
Обсуждение
24.02.2019, 18:18
общий
это ответ
Здравствуйте, dar777!
Чтобы не превращать решение задачи в трактат, будем считать обе частицы релятивистскими. Тогда, исходя из последней формулы для длины волны де Бройля, указанной ниже:
и того, что
Мэ*В
(Дж),
при массе протона
кг и массе электрона 
кг получим, что отношение между длинами волн де Бройля протона и электрона в рассматриваемом случае составляет
то есть в данном случае длина волны де Бройля протона меньше длины волны де Бройля электрона приблизительно в
раз.
Чтобы не превращать решение задачи в трактат, будем считать обе частицы релятивистскими. Тогда, исходя из последней формулы для длины волны де Бройля, указанной ниже:
и того, что
Мэ*В (Дж),при массе протона
кг и массе электрона кг получим, что отношение между длинами волн де Бройля протона и электрона в рассматриваемом случае составляетто есть в данном случае длина волны де Бройля протона меньше длины волны де Бройля электрона приблизительно в
раз.
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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