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Question

# Two plane mirrors are placed as shown in figure. A point object O is approaching the intersection point A of mirrors with a speed of 100cm/s. The velocity of image of the object formed by M2 with respect to velocity of image of object formed by M1 is:-

A
128^i+96^jcm/s
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B
28^i+48^jcm/s
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C
128^i48^jcm/s
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D
100^i+48^jcm/s
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Solution

## The correct option is A −128^i+96^jcm/sVelocityofimageformbyM1=100cm/s^i⇒→V1=100cm/s^iVelocityofimageformedbyM2=−100cos(2×370)^i+100sin(2×370)^j=−100[1−2×925]^i+100(2×35×45)^j=−100×725^i+100×2425^j=−28^i+96^j∴relativevelocity=→V2−→V1=−128^i+96^jcm/sHence,optionAiscorrectanswer.

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