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Q.

Circular disc X of radius R is made from an iron plate of thickness t, and another disc Y of radius 4 R is made from an iron plate of thickness.t4.Then, the relation between the moment of inertia IX, and Iy is

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a

IY=64IX

b

IY=32IX

c

IY=16IX

d

I=IX

answer is A.

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Detailed Solution

The mass of the disc = Volume x density                                 =πR2t×ρFor disc X,IX=12M1R12                    =12πR4tρFor disc Y,IY=12π(4R)2t4ρ(4R)2               =32πR4tρ∴ IY=64IX
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Circular disc X of radius R is made from an iron plate of thickness t, and another disc Y of radius 4 R is made from an iron plate of thickness.t4.Then, the relation between the moment of inertia IX, and Iy is