NEET2001PhysicsRotational MotionActual
If the earth is treated as a sphere of radius R and mass M , its angular momentum about the axis of its rotation with period T , is
Options
- AM R^2 T 2
- B4 M R^2 5 T
- CM R^3 T
- D2 M R^2 T
Correct answer
B. 4 M R^2 5 T
Step-by-step solution
The moment of inertia I of a solid sphere about the axis of rotation through the centre is I= 2 5 M R^2 Angular momentum L=I = 2 5 M R^2 2 T = 4 M R^2 5 T where T= time period of rotation