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One solid sphere A and another hollow sp...

One solid sphere `A` and another hollow sphere `B` are of same mass and same outer radii. Their moment of inertia about their diameters are respectively `I_(A)` and `I_(B)` such that.

A

`I_(A)=I_(B)`

B

`I_(A) gt I_(B)`

C

`I_(A) lt I_(B)`

D

`I_(A)//I_(B)=d_(A)//d_(B)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(I_(A))/(I_(B))=((2)/(5)MR^(2))/((2)/(3)MR^(2))=(6)/(10)=(3)/(5)`
`I_(B)=(5)/(3)I_(A)`
:. `I_(B)gtI_(A)`
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