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Консультация № 203011
20.06.2022, 21:34
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Здравствуйте! У меня возникли сложности с таким вопросом:
Исследование спектра излучения Солнца показывает, что максимум спектральной
плотности энергетической светимости соответствует длине волны 500 нм.
Принимая Солнце за черное тело, определить: 1) температуру поверхности Солнца,
2) энергию, излучаемую Солнцем в виде электромагнитных волн за 1 минуту, 3)
массу, теряемую Солнцем за это время за счет излучения.
Исследование спектра излучения Солнца показывает, что максимум спектральной
плотности энергетической светимости соответствует длине волны 500 нм.
Принимая Солнце за черное тело, определить: 1) температуру поверхности Солнца,
2) энергию, излучаемую Солнцем в виде электромагнитных волн за 1 минуту, 3)
массу, теряемую Солнцем за это время за счет излучения.
Обсуждение
21.06.2022, 04:35
общий
это ответ
Здравствуйте, irinka4226!
Предлагаю Вам следующее решение задачи.
Дано:
м -- длина волны излучения, соответствующая максимуму спектральной плотности энергетической светимости Солнца; 
м -- радиус Солнца.
Определить:
-- температуру поверхности Солнца; 
-- энергию, излучаемую Солнцем в виде электромагнитных волн за одну минуту (
с); 
-- массу, теряемую Солнцем за это время за счёт излучения.
Согласно закону смещения Вина,
(К) (здесь 
м[$183$]К -- постоянная Вина).
Искомая энергия равна произведению энергетической светимости
Солнца (по закону Стефана -- Больцмана; 
Вт/(м2[$183$]К4)) на площадь 
его поверхности и на время 
то есть
(Дж).
Искомую потерю массы вычислим, используя соотношение Эйнштейна:
(кг).
Предлагаю Вам следующее решение задачи.
Дано:
м -- длина волны излучения, соответствующая максимуму спектральной плотности энергетической светимости Солнца; м -- радиус Солнца.Определить:
-- температуру поверхности Солнца; -- энергию, излучаемую Солнцем в виде электромагнитных волн за одну минуту ( с); -- массу, теряемую Солнцем за это время за счёт излучения.Решение
Согласно закону смещения Вина,
(К) (здесь м[$183$]К -- постоянная Вина).Искомая энергия равна произведению энергетической светимости
Солнца (по закону Стефана -- Больцмана; Вт/(м2[$183$]К4)) на площадь его поверхности и на время то есть (Дж).Искомую потерю массы вычислим, используя соотношение Эйнштейна:
(кг).
Об авторе:
Facta loquuntur.
Facta loquuntur.
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