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Консультация № 196619
09.10.2019, 16:25
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Здравствуйте! Прошу помощи в следующем вопросе:
Тонкая линза с фокусным расстоянием расстоянием F=12см даёт действительное изображение на расстоянии f=20см от линзы. Определите увеличение Г линзы.
Тонкая линза с фокусным расстоянием расстоянием F=12см даёт действительное изображение на расстоянии f=20см от линзы. Определите увеличение Г линзы.
Обсуждение
11.10.2019, 10:01
общий
это ответ
Здравствуйте, svrvsvrv!
Дано: F=12 см -- фокусное расстояние тонкой линзы; f=20 см -- расстояние от действительного изображения предмета до линзы.
Определить: Г -- увеличение линзы.
Решение
Поскольку в рассматриваемом случае действительное изображение предмета находится между фокусом и точкой на двойном фокусном расстоянии, то есть F<f<2F, постольку изображение является обратным и уменьшенным, а предмет находится за двойным фокусным расстоянием, то есть 2F<d [1, с. 386]. В прикреплённом файле находится соответствующая рассматриваемому случаю схема, которую я заимствовал из [1, с. 387].
Воспользовавшись формулой тонкой линзы [1, с. 384], получим 1/d+1/f=1/F, 1/d=1/F-1/f=(f-F)/(fF), d=fF/(f-F). Согласно формуле для увеличения k линзы [1, с. 388], будем иметь
Ответ: 2/3.
Литература
1. Гурский И. П. Элементарная физика с примерами решения задач. -- М.: Наука, 1984. -- 448 с.
Дано: F=12 см -- фокусное расстояние тонкой линзы; f=20 см -- расстояние от действительного изображения предмета до линзы.
Определить: Г -- увеличение линзы.
Решение
Поскольку в рассматриваемом случае действительное изображение предмета находится между фокусом и точкой на двойном фокусном расстоянии, то есть F<f<2F, постольку изображение является обратным и уменьшенным, а предмет находится за двойным фокусным расстоянием, то есть 2F<d [1, с. 386]. В прикреплённом файле находится соответствующая рассматриваемому случаю схема, которую я заимствовал из [1, с. 387].
Воспользовавшись формулой тонкой линзы [1, с. 384], получим 1/d+1/f=1/F, 1/d=1/F-1/f=(f-F)/(fF), d=fF/(f-F). Согласно формуле для увеличения k линзы [1, с. 388], будем иметь
Г=k=f/d=f/(fF/(f-F))=(f-F)/F=(20-12)/12=8/12=2/3.
Ответ: 2/3.
Литература
1. Гурский И. П. Элементарная физика с примерами решения задач. -- М.: Наука, 1984. -- 448 с.
Прикрепленные файлы:
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Об авторе:
Facta loquuntur.
Facta loquuntur.
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