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Консультация № 181349
14.12.2010, 13:37
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Здравствуйте, уважаемые эксперты! Прошу Вас ответить на следующий вопрос:
Светящийся предмет расположен на расстоянии 12,5 м от линзы, а его действительное изображение на расстоянии 85 см от нее. Где получится изображение, если предмет придвинуть к линзе на 2,5 м?
Светящийся предмет расположен на расстоянии 12,5 м от линзы, а его действительное изображение на расстоянии 85 см от нее. Где получится изображение, если предмет придвинуть к линзе на 2,5 м?
Обсуждение
14.12.2010, 16:11
общий
Дано
a=12.5м
b=85 см= 0.85м
l=2.5м
---------------
x-?
Решение:
используя формулу линзы найдем ее фокусное расстояние
1/a+1/b=1/f
откуда фокусное расстояние f=a*b/(a+b) (1)
для второго случая формула линзы будет выглядеть так
1/(a-l)+1/(x)=1/f
откуда x=f*(a-l)/(f+a-l)(2)
подставим (1) в (2)
x=a*b*(a-l)/(a+b) /(a*b/(a+b)+a-l)
подставим численные значения
x=12.5м*0.85м*(12.5м-2.5м)/(12.5м+0.85м)/(12.5м*0.85м/(12.5м+2.5м)+12.5м-2.5м)=0,73м
a=12.5м
b=85 см= 0.85м
l=2.5м
---------------
x-?
Решение:
используя формулу линзы найдем ее фокусное расстояние
1/a+1/b=1/f
откуда фокусное расстояние f=a*b/(a+b) (1)
для второго случая формула линзы будет выглядеть так
1/(a-l)+1/(x)=1/f
откуда x=f*(a-l)/(f+a-l)(2)
подставим (1) в (2)
x=a*b*(a-l)/(a+b) /(a*b/(a+b)+a-l)
подставим численные значения
x=12.5м*0.85м*(12.5м-2.5м)/(12.5м+0.85м)/(12.5м*0.85м/(12.5м+2.5м)+12.5м-2.5м)=0,73м
Об авторе:
to live is to die
to live is to die
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