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Question: A convex of lens of focal length 15 cm is placed on a plane mirror. An object is placed at 30 cm fro...

A convex of lens of focal length 15 cm is placed on a plane mirror. An object is placed at 30 cm from the lens. The image is :

A

Real, at 30 cm in front of the mirror

B

Real, at 30 cm behind the mirror

C

Real, at 10 cm in front of the mirror

D

Virtual ,at 10 cm behind the mirror

Answer

Real, at 10 cm in front of the mirror

Explanation

Solution

: 1F=1fl+1fp.m+1f1=2f1+1F=152m\frac { 1 } { F } = \frac { 1 } { f _ { l } } + \frac { 1 } { f _ { p . m } } + \frac { 1 } { f _ { 1 } } = \frac { 2 } { f _ { 1 } } + \frac { 1 } { \infty } \Rightarrow F = \frac { 15 } { 2 } m

\thereforeImage is real, 10 cm in front of mirror.