JEE Main · PhysicsEasy

$A solid sphere of mass M = 5 kg and radius R = 0.2 m is rotating about its central axis. What is its moment of inertia I ?$

A. $0.08 kg m^{2}$
B. $0.12 kg m^{2}$
C. $0.20 kg m^{2}$
D. $0.40 kg m^{2}$

Show correct answer & step-by-step solution

Correct answer: A — $0.08 kg m^{2}$

Solution

$The moment of inertia for a solid sphere is I = \frac{2}{5} M R^{2} .$
$Substitute M = 5 kg and R = 0.2 m .$
$I = \frac{2}{5} \times 5 \times (0.2)^{2} = 2 \times 0.04 = 0.08 kg m^{2} .$
$Hence the answer is (A).$

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