a small plane mirror is placed at the center of a spherical screen of radius R .A beam of light is falling on the mirror .If the mirror makes n revolutions power second , the speed of the spot of the light on the screen after reflection from the mirror will be
Hey!
As we know, when plane mirror rotates through an angle θ , the reflected ray from the mirror rotates through an angle 2θ. So, spot on the screen will make 2 x n = 2n revolutions per second (frequency).
To find the velocity :
v=2πR x frequency
=2π x R x 2n
=4πnR m/s
Hope it helped to clear your delimma.
Thank you.