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Question

A real image of half the size is obtained in a concave spherical mirror with a radius of curvature of 40 cm. The distance of the object and that of its image from the mirror will be respectively

A
15 cm, 30 cm
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B
30 cm, 15 cm
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C
30 cm, 60 cm
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D
60 cm, 30 cm
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Solution

The correct option is D 60 cm, 30 cm
Given, image formed is real.
m=vu=12uv=12v=u2
1u+1v=1f1u+2u=120 [f=R2]
1+2u=120u=60 cm
v=30 cm where v is the image distance, u is the object distance and m is the magnification.

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