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Консультация № 179480
13.07.2010, 13:46
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Здравствуйте, уважаемые эксперты:
Фокусное расстояние объектива зрительной трубы Fоб= 100 см, окуляра — Fок = 8 см. Под каким углом виден диаметр лунного диска при рассматривании изображения с расстояния наилучшего зрения L=25 см? Кажущийся угловой диаметр Луны а =0,5°
Фокусное расстояние объектива зрительной трубы Fоб= 100 см, окуляра — Fок = 8 см. Под каким углом виден диаметр лунного диска при рассматривании изображения с расстояния наилучшего зрения L=25 см? Кажущийся угловой диаметр Луны а =0,5°
Обсуждение
13.07.2010, 19:28
общий
это ответ
Здравствуйте, max123.
Решение:
Из ΔСB1O1 найдем tgθ0=CB1/CO1=CB1/Fоб
Из ΔСB1O2 найдем tgθ=CB1/CO2=CB1/Fок
Углы θ0 и θ малы, поэтому можно записать
θ0=CB1/Fоб и θ=CB1/Fок
Угловое увеличение зрительной трубы
k=θ/θ0=Fоб/Fок=100/8=12,5 см
Отсюда θ=12,5θ0
θ=12,5*0,5=6,25°
Ответ: θ=6,25°
Решение:
Из ΔСB1O1 найдем tgθ0=CB1/CO1=CB1/Fоб
Из ΔСB1O2 найдем tgθ=CB1/CO2=CB1/Fок
Углы θ0 и θ малы, поэтому можно записать
θ0=CB1/Fоб и θ=CB1/Fок
Угловое увеличение зрительной трубы
k=θ/θ0=Fоб/Fок=100/8=12,5 см
Отсюда θ=12,5θ0
θ=12,5*0,5=6,25°
Ответ: θ=6,25°
5
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