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Q.

In an astronomical telescope in normal adjustment, a straight black line of length L is drawn on the objective lens. The eyepiece forms a real image of this line. The length of this image is l. The magnification of the telescope is

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a

Ll

b

Ll+1

c

Ll−1

d

L+lL−l

answer is A.

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Detailed Solution

Here we treat the line on the objective as the object and the eyepiece as the lens. Hence u=−(fo+fe) and f=fe Now  1v−1−(fo+fe)=1feSolving we get  v=(fo+fe)fefoMagnification  =vu=fefo=Image sizeObject size=lL∴ Magnification of telescope in normal adjustment =fofe=Ll
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