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Question

The velocity of the image with respect to ground in the below shown figure will be
[Mirror is at rest and velocity of the object (O) perpendicular to the principal axis is given with respect to ground]


A
10 m/s moving downwards
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B
10 m/s moving upwards
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C
20 m/s moving downwards
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D
20 m/s moving upwards
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Solution

The correct option is A 10 m/s moving downwards
For the given concave mirror,
u=30 cm, f=20 cm
Using mirror formula,
1v130=120
1v=160
v=60 cm
So, m=vu=(60)30=2
Also, velocity of the image when the object is moving perpendicular to the principal axis,
vi,m=mvo,m
vi,m=2×5=10 m/s
Hence, the velocity of the image will be 10 m/s downwards.
Why this question ?Tips: When the object is moving to principal axis, image velocity formula is valid for pointobject only.Caution: Downward direction of velocity w.r.tprincipal axis is taken negative.

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