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AIIMS 2001
Exam
AIIMS
Year
2001
Subject
Physics
Chapter
Rotational Motion

AIIMS 2001 · Physics · Rotational Motion

If the earth is treated as a sphere of radius R and mass M , its...

If the earth is treated as a sphere of radius RR and mass MM, its angular momentum about the axis of its rotation with period TT, is

Options

  1. AMR2T2π\frac{M R^2 T}{2 \pi}
  2. B4πMR25T\frac{4 \pi M R^2}{5 T}
  3. CπMR3T\frac{\pi M R^3}{T}
  4. D2πMR2T\frac{2 \pi M R^2}{T}

Correct answer

B. 4πMR25T\frac{4 \pi M R^2}{5 T}

Step-by-step solution

The moment of inertia II of a solid sphere about the axis of rotation through the centre is I=25MR2I=\frac{2}{5} M R^2 ∴\therefore Angular momentum L=Iω=25MR2×2πTL=I \omega=\frac{2}{5} M R^2 \times \frac{2 \pi}{T} =4πMR25T=\frac{4 \pi M R^2}{5 T} where T=T= time period of rotation
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