Question

# A light ray 1 is incident on a plane mirror M. The mirror is rotated in the direction as shown in the figure by an arrow at frequency 9πrev/s. The light reflected by the mirror is received on the wall W at a distance 10m from the axis of rotation. When the angle of incidence becomes 37o the speed of the spot (a point) on the wall is: A
10m/s
B
1000m/s
C
360m/s
D
None of these
Solution
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#### Rotational speed of reflected light is given by,ω′=2×9π×2π=18 rad/sNow, v′=Rω′The velocity of spot on wall is given as,vcos(90o−37o)=Rω′vcos53o=Rω′v=10cos53o×36cos53o=36×259=1000rad/s 0
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