A flat mirror revolves at a constant angular velocity, making n = 0.5 revolution per second. With what velocity will a light spot move along a spherical screen with a radius of 10 metres if the mirror is at the centre of curvature of the screen?
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Sol. When the mirror turns through an angle α the reflected ray will turn through 2 α since the angles of incidence and reflection increase by α . Hence, the angular velocity of rotation of the reflected ray is ω = 2 π n × 2. The linear velocity with which the light spot moves along the screen is v = 4 π nR
62.8 m/s.
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