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