1.

If I_(1) is the moment of inertia of a thin' rod about an axis perpendicular to its length and passing through the centre of mass and I_(2) is the moment of inertia of the ring formed by bending this rod in the form of a ring, then (I_1)/(I_2) is

Answer»

`1 : 1`
`PI^2 : 3`
`pi : 4`
`3 : 5`

Solution :Let M and L be the mass and the length of the rod respectively .
`therefore I_(1) = (1)/(12) ML^(2) ""because L = 2pi r or r = (L)/(2pi)`
`therefore I_(2) = MR^(2) = M ((L)/(2pi))^(2)`
THUS , `(I_(1))/(I_(2)) = (pi^2)/(3)`


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