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Q.

A circular disc X of radius R  is made from an iron plate of thickness t , and another plate Y of radius 4R  is made from an iron plate of thickness t/4 . The ratio of moment of inertia IY/IX  is

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a

32

b

16

c

1

d

64

answer is D.

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Detailed Solution

Ix=12(mass)(radius)2     =12[(π R2)t.ρ]R2         IY=12[(π 16 R2)t ρ4](4 R)2=64 Ix Or   IyIx=64 .
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A circular disc X of radius R  is made from an iron plate of thickness t , and another plate Y of radius 4R  is made from an iron plate of thickness t/4 . The ratio of moment of inertia IY/IX  is