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Q.

Two circular loops A and B of radii rA and rB respectively are made from the same uniform wire. The ratio of their moments of inertia about axis passing through thet centres and perpendicular to their planes isIB/IA=8, then rB/rA=

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a

2

b

8

c

6

d

4

answer is A.

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Detailed Solution

For circular loop  I=MR2
Mass of circular loop = circumference x m
 IBIA=2πrBm×rB22πrAm×rA2=rB2rA3
or , 8=rB3rA3  or  rBrA=(8)1/3=2

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