Q.

When an object is kept at a distance of 30 cm from a concave mirror, the image is formed at a distance of 10 cm. If the object is moved with a speed of 9 cm s-r the speed with which the image moves is

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a

0.1 ms−1

b

1 ms−1

c

3m s-1

d

9 m s-1

answer is B.

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Detailed Solution

1u+1v=1f⇒−duu2−dvv2=0  or  −dvv2=duu2or dv=−v2u2du=−10×1030×30×9ms−1=−1ms−1
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When an object is kept at a distance of 30 cm from a concave mirror, the image is formed at a distance of 10 cm. If the object is moved with a speed of 9 cm s-r the speed with which the image moves is