A uniform metal rod of length `L` and mass `M` is rotating about an axis passing throuth one of the ends perpendicular to the rod with angular speed `omega`. If the temperature increases by `t^@C` then the change in its angular velocity is proportional to which of the following ? (Coefficient of linear expansion of rod `=alpha`)

Options

A. `sqrt(omega)`
B. `omega`
C. `omega^(2)`
D. `1/(omega)`

Answer

B

Explanation

`Iprop1/(omega).....1, I=(ML^(2))/3rArrI prop L^(2)....(2)`
from (1) and (2) `omegaprop1/(L^(2))`