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Консультация № 198880
09.06.2020, 07:40
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Электрон находится на второй орбите в атоме водорода. Точность его пространственной локализации определяется радиусом орбиты. Найти неопределенность скорости?
Электрон находится на второй орбите в атоме водорода. Точность его пространственной локализации определяется радиусом орбиты. Найти неопределенность скорости?
Обсуждение
13.06.2020, 12:25
общий
это ответ
Здравствуйте, Marina!
Дано:
n=2
Найти:
[$916$]v
Решение:
1-й Боровский радиус
r1=5.3*10-11 м
Радиус n-й орбиты
rn=n2*r1
Следовательно радиус второй орбиты
r=22*r1=2,1*10-10 м
Согласно соотношению неопределенностей Гейзенберга
[$916$]p*[$916$]x [$8805$] h/2п (вообще-то пишут "h c чертой" - здесь нет такой буквы... "h с чертой" - постоянная Дирака равна h/2п = 1,05*10-34 Дж*с)
[$916$]p=m*[$916$]v
а вот здесь далее мне не совсем ясно, но, видимо, согласно вашему условию, следует считать, что
[$916$]x=r
тогда
[$916$]v[$8805$]<h c чертой>/mr
После подстановки и расчетов
[$916$]v[$8805$]5,5*105 м/с
Не на 100% уверен в правильности размышлений. Если кто-то из коллег проверит, буду благодарен.
Дано:
n=2
Найти:
[$916$]v
Решение:
1-й Боровский радиус
r1=5.3*10-11 м
Радиус n-й орбиты
rn=n2*r1
Следовательно радиус второй орбиты
r=22*r1=2,1*10-10 м
Согласно соотношению неопределенностей Гейзенберга
[$916$]p*[$916$]x [$8805$] h/2п (вообще-то пишут "h c чертой" - здесь нет такой буквы... "h с чертой" - постоянная Дирака равна h/2п = 1,05*10-34 Дж*с)
[$916$]p=m*[$916$]v
а вот здесь далее мне не совсем ясно, но, видимо, согласно вашему условию, следует считать, что
[$916$]x=r
тогда
[$916$]v[$8805$]<h c чертой>/mr
После подстановки и расчетов
[$916$]v[$8805$]5,5*105 м/с
Не на 100% уверен в правильности размышлений. Если кто-то из коллег проверит, буду благодарен.
5
Об авторе:
С уважением
shvetski
С уважением
shvetski
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