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Concepts Of Physics MCQ Edition [Volume 1]PhysicsGeometrical Optics

A small block of mass m and a concave mirror of radius R fitted with a stand lie on a smooth horizontal table with a separation d between them. The mirror together with its stand has a mass m . The block is pushed at t = 0 towards the mirror so that it starts moving towards the mirror at a constant speed V and collides with it. The collision is perfectly elastic. Find the velocity of the image (a) at a time t d/V .

Options

  1. A(a) R^2 V [2(d - Vt) - R]^2 (b) V (1 - R^2 [2Vt - d - R]^2 )
  2. B(a) R^2 V [2(d - Vt) + R]^2 (b) V (1 - R^2 [2Vt - d + R]^2 )
  3. C(a) R V [2(d - Vt) - R]^2 (b) V (1 - R [2Vt - d - R]^2 )
  4. D(a) R^2 V [d - Vt - R]^2 (b) V (1 - R^2 [Vt - d - R]^2 )

Correct answer

A. (a) R^2 V [2(d - Vt) - R]^2 (b) V (1 - R^2 [2Vt - d - R]^2 )

Step-by-step solution

(a) R^2 V [2(d - Vt) - R]^2 (b) V (1 - R^2 [2Vt - d - R]^2 )

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