1.

If I_(1) is the moment of inertia of a thin rod about an axis perpendicular to its length and passing through its centre of mass, and I_(2) is the moment of inertia (about central axis) of the ring formed by bending the rod, then

Answer»

`I_(1):I_(2)=1:1`
`I_(1):I_(2)=pi^(2):3`
`I_(1):I_(2)=pi:4`
`I_(1):I_(2)=3:5`

SOLUTION :Here `I_(1)=(ml^(2))/(12)""...(i)`
and `I_(2)=m[(L)/(2pi)]^(2)""(because 2pir=l)`
`=(ml^(2))/(4pi^(2))""...(ii) [r=l//2pi]`
`therefore (I_(1))/(I_(2))=(ml^(2))/(12)xx(4pi^(2))/(ml^(2))=(pi^(2))/(3)`


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