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MHT CET20243 May 2024Evening ShiftPhysicsRotational MotionActual

The earth is assumed to be a sphere of radius ' R ', and mass ' M ' having period of rotation ' T '. The angular momentum of earth about its axis of rotation is

Options

  1. A2 MR ^2 5 ~T
  2. B4 MR ^2 5 ~T
  3. CMR ^2 ~T 2
  4. DMR ^2 ~T 4

Correct answer

B. 4 MR ^2 5 ~T

Step-by-step solution

Angular momentum, L = I Moment of inertia of solid sphere is 2 5 MR ^2 aligned & L = 2 5 MR ^2 & ~L = ( 2 5 MR ^2 ) ( 2 ~T )= 4 MR ^2 5 ~T aligned

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