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Q.

A point object 'O' is at the centre of curvature of a concave mirror. The mirror starts to move at a speed u, in a direction perpendicular to the principal axis. Then, the initial velocity of the image is

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a

2u, in the direction opposite to that of mirror's velocity

b

2u, inthe direction same as that of mirror's velocity

c

zero

d

u, in the direction same as that of mirror's velocity

answer is B.

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Detailed Solution

Image velocity (w.r.t. mirror) = m × object velocity (w.r.t. mirror)Here m = -1. The negative sign shows that  the image is moving opposite to that of the mirror. As the mirror is also moving with a speed u, therefore the total speed of the image will be u+u=2u.
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A point object 'O' is at the centre of curvature of a concave mirror. The mirror starts to move at a speed u, in a direction perpendicular to the principal axis. Then, the initial velocity of the image is