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Консультация № 70839
14.01.2007, 10:50
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Здравствуйте!Помогите, пожалуйста, мне решить такую задачку:
Чему равен угол полного отражения при падени луча на границу раздела двух сред, относительный показатель преломления которых равен 2?
Чему равен угол полного отражения при падени луча на границу раздела двух сред, относительный показатель преломления которых равен 2?
Обсуждение
15.01.2007, 18:10
общий
это ответ
Здравствуйте, KISS-KA!
При полном отражении света луч, падающий на границу раздела сред, полностью отражается, не проходя через границу. Это имеет место при переходе светового луча из оптически более плотной среды в оптически менее плотную для углов падения, превышающих так называемый предельный угол полного отражения. При этом предельный угол полного отражения - это угол падения, который соответствует углу преломления pi/2 или 90 градусов (это последний луч, идущий вдоль границы раздела, при больших углах свет не перейдет уже границу и отразится).
Посему т.к. по закону преломления sin(a1):sin(a2)=n2/n1 отношение синусов углов падения и преломления равно обратному отношению показателей преломления, то sin(a):sin(pi/2)=n2/n1=1/2 и т.к. sin(pi/2)= 1, то sin(a)=1/2 и a=arcsin(1/2)=30 градусов.
Удачи Вам!
При полном отражении света луч, падающий на границу раздела сред, полностью отражается, не проходя через границу. Это имеет место при переходе светового луча из оптически более плотной среды в оптически менее плотную для углов падения, превышающих так называемый предельный угол полного отражения. При этом предельный угол полного отражения - это угол падения, который соответствует углу преломления pi/2 или 90 градусов (это последний луч, идущий вдоль границы раздела, при больших углах свет не перейдет уже границу и отразится).
Посему т.к. по закону преломления sin(a1):sin(a2)=n2/n1 отношение синусов углов падения и преломления равно обратному отношению показателей преломления, то sin(a):sin(pi/2)=n2/n1=1/2 и т.к. sin(pi/2)= 1, то sin(a)=1/2 и a=arcsin(1/2)=30 градусов.
Удачи Вам!
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