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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 moments of inertia about their diameters are respectively `I_(A)` and `I_(B)` such that
where `d_(A)` and `d_(B)` are their densities .

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
Let M and R be the mass and outer radius of
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Knowledge Check

  • 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)`

  • 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)`

  • A solid sphere and a hollow sphere are identical in mass and radius. The ratio of their moment of inertia about diameter is :

    A
    `5:3`
    B
    `1:1`
    C
    `1:2`
    D
    `3:5`

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