derivation of compound microscope
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Magnifying power: The ratio of the angle subtended by the eye by the final virtual image, to the angle subtended at the eye by the object
Magnifying power 
Where angle subtended by the eye by final image
angle subtended by the eye by object.
h’ =height of image, h = height of object

The eye piece acts as a simple microscope.

where D = distance between eye piece to final image
and = focal length of eye piece.
As Length of microscope tube.

Where distance between objective lens to image A’B’
distance between objective lens to object AB
focal length of objective lens.
Case II: When the final image is formed at infinity

When A’B’ lie on focus of eye piece.

so final image A”B” is formed at infinity
Magnifying power 
Where angle subtended by the eye by final image
angle subtended by the eye by object.
h’ =height of image, h = height of object

The eye piece acts as a simple microscope.

where D = distance between eye piece to final image
and = focal length of eye piece.
As Length of microscope tube.

Where distance between objective lens to image A’B’
distance between objective lens to object AB
focal length of objective lens.
Case II: When the final image is formed at infinity

When A’B’ lie on focus of eye piece.

so final image A”B” is formed at infinity
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compound microscope is an optical device used to see highly magnified image of tiny objects.
it is consist of two convex lenses of short focal length arranged coaxial at the free end of tube at a suitable fixed distance.
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it is consist of two convex lenses of short focal length arranged coaxial at the free end of tube at a suitable fixed distance.
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Tajamul111:
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