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Question 30366
JEE Physics · Hard

Rigid Body Dynamics: JEE — MOI Choice MCQ

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JEE — MOI ChoiceHardQuestion 30366

Question

A solid sphere and a hollow sphere of same mass M and radius R. They are rolled simultaneously down an incline from the same height. Comparing speeds at the bottom: solid sphere speed v_s and hollow sphere speed v_h:
  1. A
    v_s = v_h
  2. B
    v_s > v_h
    Correct
  3. C
    v_s < v_h
  4. D
    Cannot determine without radius

Correct answer

v_s > v_h

Explanation

v = √(2gh/(1+k)). Solid sphere: k = 2/5, v_s = √(10gh/7). Hollow sphere: k = 2/3, v_h = √(6gh/5). Since 10/7 > 6/5, v_s > v_h.

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