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Задать вопрос экспертам

Консультация № 200656

15.04.2021, 10:29

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Образование

Уважаемые эксперты! Пожалуйста, ответьте на вопрос: Фотоэлектроны, вырываемые с поверхности некоторого металла светом с частотой 2,2*10^15 Гц, полностью задерживаются потенциалом 6,6 В, а вырываемые светом с частотой 4,6*10^15 Гц- потенциалом 16,5 В. Найти постоянную Планка.

Обсуждение

давно

Посетитель
226425
1567

15.04.2021, 23:30

общий

это ответ

Здравствуйте, Алина!
Дано:
f₁=2,2*10¹⁵ Гц
[$966$]₁=6,6 В
f₂=4,6*10¹⁵ Гц
[$966$]₂=16,5 В
Найти: h
Решение:
1. Уравнение Эйнштейна для фотоэффекта:
hf=A+E_{k max} (1)
2. Максимальная кинетическая энергия фотоэлектронов может быть определена через задерживающий потенциал
E_{k max}=e[$966$] (2)
Тогда из выражений (1) и (2) имеем, что
hf=A+e[$966$] (3)
- где А - работа выхода электрона из металла,
е=1,6*10^-19 Кл - величина заряда электрона.
Составим систему:
hf₁=A+e[$966$]₁
hf₂=A+e[$966$]₂
Выразим А и приравняем правые части, получим:
hf₁-e[$966$]₁=hf₂-e[$966$]₂
Отсюда
h=e([$966$]₂-[$966$]₁)/(f₂-f₁) =
= 1,6*10^-19*(16,5-6,6)/(4,6-2,2)*10¹⁵=
= 6,6*10^-34 Дж*с
***
Удачи

5

Об авторе:
С уважением
shvetski

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