Geometrical OpticsHard

Question

A light ray I is incident on a plane mirror M. The mirror is rotated in the direction as shown in the figure by an arrow at frequency 9/π rev/s. The light reflected by the mirror is received on the wall W at a distance 10 m from the axis of rotation When the angle of incidence become 37o the speed of the spot (a point) on the wall is :

Options

A.10 m/s
B.1000 m/s
C.360 m/s
D.None of these

Solution


As we know the ωreflected = 2ωmirror
ωR = 2 × 2π × = 18 × 2 = 36 ∴ vS cos 37o = v
vS = c sec 53o = RωR sec 53o  = 10 (sec 53o)2 × 18
= 10 × × 18 × 2  = 1000 m/s

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