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Question

# A plane mirror is moving with velocity 4^i+5^j+8^k . A point object in front of the mirror moves with a velocity 3^i+4^j+5^k . Here, ^k is along the normal to the plane mirror and facing towards the object. The velocity of the image is

A
3^i4^j+5^k
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B
3^i+4^j+11^k
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C
3^i4^j+11^k
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D
7^i+9^j+11^k
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Solution

## The correct option is B 3^i+4^j+11^kThe velocity of plane mirror =4^i+5^j+8^k Point velocity =3^i+4^j+5^k Velocity along normal changes but velocity ⊥ to normal remains constant →Vimage along normal=2Vm−Vo=(16−5)^k=+11^k →Vimage perpendicular to normal=[3^i+4^j] →Vimage =[3^i+4^j+11^k]

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