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JEE Main202524 Jan 2025Evening ShiftPhysicsRotational MotionActual

A solid sphere and a hollow sphere of the same mass and of same radius are rolled on an inclined plane. Let the time taken to reach the bottom by the solid sphere and the hollow sphere be t₁ and t₂ , respectively, then

Options

  1. At₁ t₂
  2. Bt₁=t₂
  3. Ct₁ t₂
  4. Dt₁=2 t₂

Correct answer

C. t₁ t₂

Step-by-step solution

aligned & t = 2 a _ cm & a _ cm = g 1+ I _ cm MR ^2 & a ₁= a _ cm ₁ = 5 ~g 7 . . Solid & a ₂= a _ cm ₂ = 3 ~g 5 . . Hollow & a ₁> a ₂ & t ₁ < t ₂ aligned

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