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JEE Advanced2006PhysicsWork, Power and EnergyActual

A ball moves over a fixed track as shown in the figure. From A to B the ball rolls without slipping. If surface B C is frictionless and K_A, K_B and K_C are kinetic energies of the ball at A, B and C respectively, then

Options

  1. Ah_A>h_C ; K_B>K_c
  2. Bh_A>h_c ; K_c>K_A
  3. Ch_A=h_c ; K_B=K_c
  4. Dh_A K_c

Correct answer

A. h_A>h_C ; K_B>K_c

Step-by-step solution

In smooth part B C , due to zero torque, angular velocity and hence the rotational kinetic energy remains constant. While moving from B to C translational kinetic energy converts into gravitational energy.

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