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Консультация № 199807
07.12.2020, 19:21
0.00 руб.
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос по теме Излучение АЧТ и пирометрия:
Имеется два абсолютно черных источника теплового излучения. Температура одного из них 2500 К. Найти температуру второго источника, если длина волны, отвечающая максимуму спектральной плотности энергетической светимости этого источника на 0,5 мкм больше длины волны, соответствующей максимуму спектральной плотности энергетической светимости первого источника.
Имеется два абсолютно черных источника теплового излучения. Температура одного из них 2500 К. Найти температуру второго источника, если длина волны, отвечающая максимуму спектральной плотности энергетической светимости этого источника на 0,5 мкм больше длины волны, соответствующей максимуму спектральной плотности энергетической светимости первого источника.
Обсуждение
09.12.2020, 23:38
общий
это ответ
Здравствуйте, Tt!
Дано:
T1=2500 K
[$916$][$955$]=0,5 мкм
Найти:
Т2
Решение:
Закон смещения Вина
[$955$]max=b/T (1)
где
- [$955$]max - длина волны, на которую приходится максимум энергии излучения;
- b=2,9*10-3 м*К - постоянная Вина.
Тогда
[$955$]1Т1=[$955$]2Т2 (*)
Но сначала найдем [$955$]1 и [$955$]2
1) [$955$]1=b/T1=1,1 мкм - длина волны, на которую приходится максимум излучения первого источника;
2) [$955$]2=[$955$]1+[$916$][$955$]=1,6 мкм - длина волны, на которую приходится максимум излучения второго источника;
3) Из формулы (*) имеем
Т2=([$955$]1/[$955$]2)*Т1 = 1719 К
Ответ: 1719 К
Дано:
T1=2500 K
[$916$][$955$]=0,5 мкм
Найти:
Т2
Решение:
Закон смещения Вина
[$955$]max=b/T (1)
где
- [$955$]max - длина волны, на которую приходится максимум энергии излучения;
- b=2,9*10-3 м*К - постоянная Вина.
Тогда
[$955$]1Т1=[$955$]2Т2 (*)
Но сначала найдем [$955$]1 и [$955$]2
1) [$955$]1=b/T1=1,1 мкм - длина волны, на которую приходится максимум излучения первого источника;
2) [$955$]2=[$955$]1+[$916$][$955$]=1,6 мкм - длина волны, на которую приходится максимум излучения второго источника;
3) Из формулы (*) имеем
Т2=([$955$]1/[$955$]2)*Т1 = 1719 К
Ответ: 1719 К
Об авторе:
С уважением
shvetski
С уважением
shvetski
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