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JEE Main20245 Apr 2024Morning ShiftPhysicsRotational MotionActual

Ratio of radius of gyration of a hollow sphere to that of a solid cylinder of equal mass, for moment of Inertia about their diameter axis AB as shown in figure is 8 / x . The value of x is :

Options

  1. A51
  2. B34
  3. C17
  4. D67

Correct answer

D. 67

Step-by-step solution

aligned & I _ sphere = 2 3 MR ^2= Mk ₁^2 & I _ cylinder = 1 12 M (4 R ^2 )+ 1 4 MR ^2+ M (2 R )^2 & = 67 12 MR ^2= Mk ₂^2 & k ₁ k ₂ = 2 3 12 67 = 8 67 aligned

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