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One solid sphere A and another hollow sp...

One solid sphere A and another hollow spher B are of same mass and same outer radii. Their moment of inertia aobut their diameters are respectively `I_A and I_B` such that
where `d_A and d_B` are their densities,

A

`I_A lt I_B`

B

`I_A gt I_B`

C

`I_A = I_B`

D

`(I_A)/(I_B) = (d_A)/(d_B)`

Text Solution

Verified by Experts

The correct Answer is:
A
(a) The moment of inertia of solid spere A about its diameter
`I_A = (2)/(5)MR^2`
The moment of inertia of a hollow sphere B about its
diameter `I_B = (2)/(3)MR^2. :. I_AltI_B`
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