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Q.

A luminous point is moving at speed v0towards a spherical mirror, along its axis. Then the speed at which the image of this point object is moving is given by (with R = radius of curvature and u = object distance)

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a

-v0

b

-v0R2u-R

c

-v02u-RR

d

-v0R2u-R2

answer is D.

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Detailed Solution

1u+1v=1f  differentiatiing -1u2dudt-1v2dvdt= 0 dvdt= -v0v2u2                 dudt = v0    vu=fu-f         f=R/2
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