If the pemperature of a uniform fod is slifhely increased by `Deltat` its mement of inertia I about o pqrpendicular bisector imcreases by

Options

A. zero
B. `alphaIDeltat`
C. `2alphaIDeltat`
D. `3alphaIDeltat`

Answer

C

Explanation

Moment of inertia of a unifrom rod about perpendicular bisector
`I=(ML^(2))/(12) impliesIpropL^(2)`
`I'propL'^(2)`
`(I')/(I)=((L')/(L))^(2)=(1+alpha Delta theta)^(2)=1+2alphaDelta`
`(I'-I)/(i)=2alphaDeltat implies DeltaI=2alphaIDelta t`