Question

# A plane mirror is placed in y-z plane facing towards negative x-axis. The mirror is moving parallel to y-axis with the speed of 2 cm/s. A point object P is moving infront of the mirror with a velocity (1cm/s)^i)+(1cm/s)^j. Then which of the following statements is incorrect?

A
The velocity of image is (^i+^j) cm/s
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B
The velocity of image with respect to mirror is (^i+^j) cm/s
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C
The velocity of image with respect to object is (2^i) cm/s
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D
The unit vector in the direction of reflected ray is (^i+^j2)
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Solution

## The correct option is C The unit vector in the direction of reflected ray is (^i+^j√2)The velocity of image, For x-axis, vx=2vm−v0=−^i For y-axis, vy=v0=^j thus, →vi=−^i+^j Velocity of image with respect to mirror, →vim=→vi−→vm=(−^i+^j)−2^j=(−^i−^j)cm/s Velocity of image with respect to object →vi−→v0=(−^i+^j)−(^i+^j)=−2^i cm/s Unit vector in the direction of reflected ray (−^i+^j)√2.

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