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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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ERRORLESS -ROTATIONAL MOTION-Practice Problems (Problems based on moment of inertia)
  1. A circular disc of radius R and thickness R//6 has moment of inertia I...

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  2. The moment of inertia of a meter scale of mass 0.6 kg about an axis pe...

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  3. Two discs of the same material and thickness have radii 0.2 m and 0.6 ...

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  4. A circular disc is to be made by using iron and aluminium, so that it ...

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  5. The moment of inertia of semicircular ring about its centre is

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  6. Moment of inertia of a disc about its own axis is I. Its moment of ine...

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  7. A wheel of mass 10 kg has a moment of inertia of 160 kg-m^(2) about ...

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  8. Four particles each of mass m are placed at the corners of a square of...

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  9. The moment of inertia of a straight thin rod of mass M and length l ab...

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  10. Three point masses m(1), m(2) and m(3) are located at the vertices of ...

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  11. In a rectangle ABCD (BC=2 AB). The moment of inertia along which the a...

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  12. Two loops P and Q are made from a uniform wire. The redii of P and Q a...

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  13. The moment of inertia of a sphere about its diameter is I. Four such s...

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  14. Three identical thin rods each of length l and mass M are joined toget...

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  15. Moment of inertia of a sphere of mass M and radius R is I. Keeping M ...

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  16. Three particles are situated on a light and rigid rod placed along Y-a...

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  17. On account of melting of ice at the north pole the moment of inertia o...

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  18. According to the theorem of parallel axes I = I("cm") + Mx^(2), the g...

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  19. What is the moment of inertia of a square sheet of side l and mass pe...

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  20. The adjoining figure shows a disc of mass M and radius R lying in the ...

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