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Задать вопрос экспертам

Консультация № 171846

03.09.2009, 01:07

0.00 руб.

0 1 1

Образование

Уважаемые эксперты, прошу помочь.
В жлементарной теории атома водорода принимают, что электрон вращается вокруг протона по окружности. Какова скорость вращения электрона, если радиус орбиты 0,53*10^-10 м?
Ответ и решение.
Спасибо за помощь.

Обсуждение

давно

Посетитель
226425
1567

03.09.2009, 18:57

общий

это ответ

Здравствуйте, Шаврин Андрей Сергеевич.

Дано:
R=0.53*10^-10 м
Найти: v

Сила взаимодействия электрона с ядром в атоме водорода электростатическая

F=k*e²/R², где к=9*10⁹Н*м²/Кл²; e=1.6*10^-19 Кл

Кроме того, это Ньютоновская сила (по 2 закону)

F=m*a=m*v²/R где m=9*10^-31 кг - масса электрона

Приравниваем и сокращаем на R

m*v²=k*e²/R

Отсюда

v=e*[$8730$](k/(m*R))

Подставляем значения

v=1.6*10^-19(9*10⁹/(9*10^-31*0.53*10^-10))=2.2*10⁶ м/с

Об авторе:
С уважением
shvetski

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