An object and a plane mirror are shown in figure. Mirror is moved with velocity V as shown. The velocity of image is :

2 V s i n θ

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2 V

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2 V c o s θ

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none of these

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Solution

The correct option is B $2 V$
By using relative velocity concept velocity of image w.r.t mirror $r = V$ ,
velocity of image w.r.t ground $= O$
velocity of mirror w.r.t ground $= V$
velocity of image w.r.t mirror $=$ absolute velocity of image $-$ absolute velocity of mirror
$V =$ absolute velocity of image $= V$
absolute velocity of image $= 2 V$
velocity at image w.r.t mirror $=$ absolute velocity of image $-$ absolute velocity mirror $= 2 V - 0 = 2 V$

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