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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^k
The 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=2VmVo=(165)^k=+11^k
Vimage perpendicular to normal=[3^i+4^j]

Vimage =[3^i+4^j+11^k]

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