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Physics · PYQ NEET UG 2018

हिन्दी

Three objects, A : (a solid sphere), B : (a thin circular disk) and C : (a circular ring), each have the same mass \( M \) and radius \( R \). They all spin with the same angular speed \( \omega \) about their own symmetry axes. The amounts of work \( (W) \) required to bring them to rest, would satisfy the relation

  1. \( W_C > W_B > W_A \)
  2. \( W_A > W_B > W_C \)
  3. \( W_B > W_A > W_C \)
  4. \( W_A > W_C > W_B \)

Correct answer · Option 1

\( W_C > W_B > W_A \)

Explanation

Work required equals change in kinetic energy, \( W = \frac{1}{2}I\omega^2 \). Since \( I_C > I_B > I_A \) (\( I_{\text{ring}} = MR^2 \), \( I_{\text{disk}} = \frac{1}{2}MR^2 \), \( I_{\text{sphere}} = \frac{2}{5}MR^2 \)), therefore \( W_C > W_B > W_A \).
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