A solid sphere of radius `r` and mass `m` is spining about a diameter as axis with a speed `omega_(0)`. The temperature of the sphere increases by `100^(0)C` without any other disturbance. If the coefficient of linear expansion of material of sphere is `2 xx 10^(-4 //0) C`, the ratio of angular speed at `100^(0)C` and `omega_(0)` is

Options

A. `1:1`
B. `1:1.04`
C. `1.04:1`
D. `1:1.02`

Answer

B

Explanation

`I_(1)omega_(1)=I_(2)omega_(2),R_(1)^(2)omega_(1) = R_(2)^(2)omega_(2)`
`(omega_(2))/(omega_(1)) = ((R_(2))/R_(1))^(2) = (1)/(1 + alphaDeltat)^(2)`