Q100 / 120 · JEE Advanced 2006 · Physics

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 Figure

  • Correct answer
    A
    $h_A>h_C ; K_B>K_c$
  • B
    $h_A>h_c ; K_c>K_A$
  • C
    $h_A=h_c ; K_B=K_c$
  • D
    $h_A < h_c ; K_B>K_c$

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.

Hence, the correct answer is option: 'A'.

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