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Question: The diagram shows a mirror system. If after two reflections the image and the object coincide with e...

The diagram shows a mirror system. If after two reflections the image and the object coincide with each other then the value of radius of curvature of the concave mirror is equal to

A

16a/3

B

4a/3

C

8a/3

D

None

Answer

8a/3

Explanation

Solution

According to condition Ist image must be form by

concave mirror, a distance from plane mirror,

Hence, for concave mirror

u = –4a, v = –2a

Ž 2R=1−4a+1−2a=−34a\frac { 2 } { R } = \frac { 1 } { - 4 a } + \frac { 1 } { - 2 a } = \frac { - 3 } { 4 a }