Two bodies have their moments of inertia l and 2l respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular velocity will be in the ratio

Options

A. `2:1`
B. `1:2`
C. `sqrt2:1`
D. `1:sqrt2`

Answer

C

Explanation

K.E. =`1/2Iomega^(2)`
`therefore1/2Iomega_(1)^(2)=1/2.2Iomega_(2)^(2)`
`(omega_(1)^(2))/(omega_(2)^(2))=2/1rArr(omega_(1))/(omega_(2))=(sqrt2)/1`