Rotational Motion Question 190

Question: One solid sphere A and another hollow sphere $B$ are of same mass and same outer radii. Their moments of inertia about their diameters are respectively $I_A$ and $I_B$ such that Here $\rho_A$ and $\rho_B$ represent their densities.

Options:

A) $ I_A=I_B $

B) $ I_A>I_B $

C) $ I_A<I_B $

D) $ I_A/I_B = {\rho_A}={\rho_B} $

Show Answer

Answer:

Correct Answer: C

Solution:

[c] In a hollow sphere, the mass is distributed away from the axis of rotation.

So, its moment of inertia is greater than that of a solid sphere.



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