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Question

The lens of a telescope, after focussing for infinity is taken out and a slit of length L, is placed in its position. A sharp image of the slit is formed by the eyepiece at a certain distance from it on other side. The length of the image is l, so the magnification of the telescope is

A
2L1
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B
L21
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C
Ll
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D
1l
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Solution

The correct option is C Ll
If the line is the object for eye piece, then we have
u=(fo+fe) and f=fe

1v1(fo+fe)=1fe

v=(fo+fe)fefo

The magnification due to the eye piece is given by
m=vu=fefo=image sizeobject size=lL

At normal adjustment magnification of telescope

M=fofe=Ll

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