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Консультация № 188332
05.12.2015, 15:38
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Здравствуйте! У меня возникли сложности с таким вопросом:
была в решебнике такая задача с решением:
. Протон и альфа -частица проходят одинаковую ускоряю
щую разность потенциалов, после чего масса протона составила
половину массы покоя альфа -частицы. Определить разность потен
циалов.
нельзя ли вас попросить указать на точное решение,ибо их там два,и разные,этот ссылка:
https://rfpro.ru/question/158556#285061
была в решебнике такая задача с решением:
. Протон и альфа -частица проходят одинаковую ускоряю
щую разность потенциалов, после чего масса протона составила
половину массы покоя альфа -частицы. Определить разность потен
циалов.
нельзя ли вас попросить указать на точное решение,ибо их там два,и разные,этот ссылка:
https://rfpro.ru/question/158556#285061
Обсуждение
05.12.2015, 16:39
общий
это ответ
Здравствуйте, lexa77!
Энергии покоя протона и [$945$]-частицы равны, соответственно
mpc2=938,3 МэВ
m[$945$]c2=3727,4 МэВ
То, что масса протона составила половину массы [$945$]-частицы, также значит, что полная энергия протона составила половину энергии покоя [$945$]-частицы:
mpc2+eU=m[$945$]c2/2
где eU - кинетическая энергия, равная произведению заряда на разность потенциалов.
eU=m[$945$]c2/2-mpc2=925,4 МэВ
Учитывая, что заряд протона равен элементарному заряду, разность потенциалов равна
U=(m[$945$]c2/2-mpc2)/e=925,4 МВ=9,254[$183$]108 В
Энергии покоя протона и [$945$]-частицы равны, соответственно
mpc2=938,3 МэВ
m[$945$]c2=3727,4 МэВ
То, что масса протона составила половину массы [$945$]-частицы, также значит, что полная энергия протона составила половину энергии покоя [$945$]-частицы:
mpc2+eU=m[$945$]c2/2
где eU - кинетическая энергия, равная произведению заряда на разность потенциалов.
eU=m[$945$]c2/2-mpc2=925,4 МэВ
Учитывая, что заряд протона равен элементарному заряду, разность потенциалов равна
U=(m[$945$]c2/2-mpc2)/e=925,4 МВ=9,254[$183$]108 В
5
Спасибо!
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