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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

a
0.1 ms−1
b
1 ms−1
c
3m s-1
d
9 m s-1

detailed solution

Correct option is B

1u+1v=1f⇒−duu2−dvv2=0  or  −dvv2=duu2or dv=−v2u2du=−10×1030×30×9ms−1=−1ms−1

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A linear object AB is placed along the axis of a concave mirror. The object is moving towards the mirror with speed U. The speed of the image of the point A is 4U and the speed of the image of B is also 4U but in opposite direction. If the centre of the line AB is at a distanc e L from the mirror then find out the length of the object.


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