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Question

A particle is moving with velocity (^i+2^j+3^k) ms1. A plane mirror exists in the xy plane. The mirror has a velocity (^i+2^j) ms1. The velocity of the image (in ms1) is-

A
^j+^k
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B
^i+2^j3^k
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C
^j^k
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D
None of these
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Solution

The correct option is B ^i+2^j3^k
Given,

Velocity of object Vo=(^i+2^j+3^k) ms1Velocity of the mirror Vm=(^i+2^j) ms1

For the plane mirror,

distance of object = distance of image

Velocity of object with respect to mirror =(velocity of image with respect to mirror)

Vom=VIm

VIm=Vom

VIVm=(VoVm)

VI=2VmVo

=2(^i+2^j)(^i+2^j+3^k)=^i+2^j3^k

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, (B) is the correct answer.

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