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Question

In a compound microscope, the final image is formed at a distance d from the eyepiece, whose focal length is fe, where d>D. The object is placed at a distance u from the objective lens, whose focal length is fo. The angular magnification of the microscope is


A
foufo×(Dd+1fe)
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B
Dfoufo×(1d+1fe)
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C
Dfoufo×(1d+1fo)
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D
Dfou+fo×(1d+1fe)
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Solution

The correct option is D Dfou+fo×(1d+1fe)
angularmagnification=1lateralmagnification

angularmagnification=Dfou+fo×(1d+1fe)

option D is correct

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