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Q.

A thin wire of length L and uniform linear mass density ρ is bent into a circular loop with centre at O as shown. The moment of inertia of the loop about an axis, XY is

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a

ρL38π2

b

ρL316π2

c

5ρL38π2

d

3ρL38π2

answer is D.

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Detailed Solution

L = 2πr   ⇒ r = L2π, m= ρLIxy  =32mr2      = 32ρL(L2π)2 = 38ρL3π2
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