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A solid sphere and hollow sphere of the ...

A solid sphere and hollow sphere of the same material have mass. Then moment of inertia about the diameter is more for

A

Solid sphere

B

Hollow sphere

C

same for both

D

none

Text Solution

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The correct Answer is:
B
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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 .

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Knowledge Check

  • A solid sphere and a hollow sphere of the same material and of equal radii are heated to the same temperature

    A
    both will emit equal amount of radiation per unit time in the beginning
    B
    both will absorb equal amount of radiation per second from the surroundings in the beginning
    C
    the initial rate of cooling will be the same for both the spheres
    D
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  • 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)`
  • A steel sphere and a wooden sphere have the same mass. Then which will have greater moment of inertia about the diameter ?

    A
    wooden sphere
    B
    steel sphere
    C
    same of both
    D
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