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A circular disc of radius R and thicknes...

A circular disc of radius `R` and thickness `R//6` has moment of inertia `I` about an axis passing through its centre and perpendicular to its plane. It is melted and recast into a solid sphere. The `M.I` of the sphere about its diameter as axis of rotation is

A

I

B

`(2I)/(8)`

C

`(I)/(5)`

D

`(I)/(10)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • A circular disc of radius R and thickness R/6 has moment inertia I about an axis passing through its centre perpendicular to its plane. It is melted and recasted into a solid sphere. The moment of inertia of the sphere about its diameter is

    A
    I
    B
    `(2I)/(8)`
    C
    `I/5`
    D
    `I/(10)`

  • A disc of radius R and thickness has moment of inertia / about an axis passing through its centre and perpendicular to its plane. Disc is melted and recast into a solid sphere. The moment of inertia of a sphere about its diameter is

    A
    `l/5`
    B
    `l/6`
    C
    `l/32`
    D
    `l/64`

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    A
    increases if its temperature is increased
    B
    changes if its axis of rotation is changed
    C
    increases if its angular velocity is increased
    D
    both (a) and (b) are correct

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