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Using mirror formula, explain why does a convex mirror always produce a virtual image.

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#### Solution

For a convex mirror,

Focal length, *f >* 0

Position of object, *u* < 0

From mirror formula, we have

`1/f=1/v+1/u=>1/v=1/f-1/u`

`=>1/v>0`

∴v>0

This means that the image formed by a convex lens is always behind the mirror and hence, virtual.

Concept: Ray Optics - Mirror Formula

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