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JEE Main20258 Apr 2025Evening ShiftPhysicsRotational MotionActual

A rod of linear mass density ' ' and length ' L ' is bent to form a ring of radius 'R'. Moment of inertia of ring about any of its diameter is :

Options

  1. AL ^3 16 ^2
  2. BL ^3 12
  3. CL ^3 4 ^2
  4. DL^3 8 ^2

Correct answer

D. L^3 8 ^2

Step-by-step solution

L=2 R I = MR ^2 2 = L 2 ( L 2 )^2= L ^3 8 ^2

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