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A point object is placed at a distance o...

A point object is placed at a distance of `20cm` from a thin plano-convex lens of focal length `15cm`If the plane surface is silvered.the image will form at

A

60 сm left of AB

B

30 cm left of AB

C

12 cm left of AB

D

60 сm right of AB

Text Solution

Verified by Experts

The correct Answer is:
C
`(1)/(f_(eq)) = (2)/( f_(1)) + (1)/(f_("mirror")) = (2)/(15) + (1)/(oo) rArr f_(eq) = (15)/(2) cm `
Since, `f_(eq) ` is + ve , the combination behaves as a converging mirror
`u = - 20 cm f = - (15)/( 2) cm `
`(1)/( v) + (1)/(u) = (1)/(f) rArr (1)/(v) = (-2)/( 15) - (1)/( (-20)) rArr v = - 12 cm `
- ve sign indicates that image is 12 cm in front of mirror
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