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Questions  

A circular disc A of radius r is made from an iron plate of thickness t and another circular disc B of radius 4r is made from an iron plate of thickness t/4. The relation between the moments of inertia IA and IB is

a
IA > IB
b
IA =  IB
c
IA <  IB
d
Depends on the actual values of t and r.

detailed solution

Correct option is C

For a solid disc ,I = 1/2 mR2m = π R2 / t ρ , where ρ = Density.: I = 1/2 (πR2 + σ) R2⇒ I t R4 .: IA = IB = (t / t/4) (r / 4r)4 = 1/64.: IA < IB

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