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Консультация № 171294
13.08.2009, 12:31
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Здравствуйте уважаемые эксперты, помогите пожалуйста решить задачу:
При анализе рассеяния [$945$]-частицы на ядрах (опыты Резерфорда) прицельные расстояния принимались порядка 0.1 нм. Волновые свойства [$945$]-частиц (Е = 7.7 МэВ) при этом не учитывались. Допустимо ли это?
При анализе рассеяния [$945$]-частицы на ядрах (опыты Резерфорда) прицельные расстояния принимались порядка 0.1 нм. Волновые свойства [$945$]-частиц (Е = 7.7 МэВ) при этом не учитывались. Допустимо ли это?
Обсуждение
13.08.2009, 13:44
общий
это ответ
Здравствуйте, Чаркин Иван Александрович.
Энергия α-частицы Е = 7.7 МэВ=1,23*10-12 Дж
масса m=6,644656*10-27 кг
постоянная Планка h=6,626069*10-34 Дж*с
Для относительно низких скоростей
E=mv2/2
Длина волны де Бройля [$955$]=h/mv=h/[$8730$](2Em)=5,175*10-15 м
То есть, волновые свойства не способны практически ни на что повлиять, так как длина волны на 5 порядков меньше прицельных расстояний
Энергия α-частицы Е = 7.7 МэВ=1,23*10-12 Дж
масса m=6,644656*10-27 кг
постоянная Планка h=6,626069*10-34 Дж*с
Для относительно низких скоростей
E=mv2/2
Длина волны де Бройля [$955$]=h/mv=h/[$8730$](2Em)=5,175*10-15 м
То есть, волновые свойства не способны практически ни на что повлиять, так как длина волны на 5 порядков меньше прицельных расстояний
5
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