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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

a
IY=64IX
b
IY=32IX
c
IY=16IX
d
I=IX

detailed solution

Correct option is A

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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