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Консультация № 191942
29.11.2017, 19:34
0.00 руб.
0
3
1
Здравствуйте! Прошу помощи в следующем вопросе 
:
Оценить неопределённость скорости deltaV электрона в атоме водорода, полагая размер атома порядка deltaX=0,1 нм.
:Оценить неопределённость скорости deltaV электрона в атоме водорода, полагая размер атома порядка deltaX=0,1 нм.
Обсуждение
29.11.2017, 22:15
общий
это ответ
Здравствуйте, serzhant.nat!
Дано:
[$916$]x=0.1 нм = 10-10 м
Найти:
[$916$]vх
Решение:
Согласно соотношению неопределенностей Гейзенберга, частица не может иметь одновременно и определенную координату х, и определенную проекцию импульса рх, причем неопределенности этих величин удовлетворяют условию:
[$916$]рх*[$916$]х [$8805$] h
но
[$916$]px = m*[$916$]vx
Следовательно
m*[$916$]vx*[$916$]x [$8805$] h
Отсюда
[$916$]vx [$8805$] h/([$916$]x*m)
Здесь h = 6.63*10-34 Дж*с - постоянная Планка; m = 9.31*10-31 кг - масса электрона.
После подстановки данных получаем
[$916$]vx [$8805$] 106 м/с
Дано:
[$916$]x=0.1 нм = 10-10 м
Найти:
[$916$]vх
Решение:
Согласно соотношению неопределенностей Гейзенберга, частица не может иметь одновременно и определенную координату х, и определенную проекцию импульса рх, причем неопределенности этих величин удовлетворяют условию:
[$916$]рх*[$916$]х [$8805$] h
но
[$916$]px = m*[$916$]vx
Следовательно
m*[$916$]vx*[$916$]x [$8805$] h
Отсюда
[$916$]vx [$8805$] h/([$916$]x*m)
Здесь h = 6.63*10-34 Дж*с - постоянная Планка; m = 9.31*10-31 кг - масса электрона.
После подстановки данных получаем
[$916$]vx [$8805$] 106 м/с
Об авторе:
С уважением
shvetski
С уважением
shvetski
30.11.2017, 15:56
общий
30.11.2017, 21:36
Адресаты:
Ну, если посчитать поточнее, то получается 7,1*106 м/с - проверьте самостоятельно.
Вероятно, в ответе опечатка.
Но у вас в вопросе требуется "оценить" неопределенность.... т.е., точных цифр не требуется, мы оценили - неопределенность порядка 106 м/с
Вероятно, в ответе опечатка.
Но у вас в вопросе требуется "оценить" неопределенность.... т.е., точных цифр не требуется, мы оценили - неопределенность порядка 106 м/с
Об авторе:
С уважением
shvetski
С уважением
shvetski
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