A unifom cylinder of steel of mass M radius R is placed on frictionless bearings and sct to rotate about its axis with angular velocity `omega_(0)` After the cylinder has reached the specified state of rotation, it is heated from temperature `T_(0)to (T_(0)+DeltaT)` without any mechanical contact. If (DeltaI)/I is the fractional change in moment of inertia of the cylinder and `(Deltaomega)/(omega_(0))` be the fractional change in the angular velocity of the cylinder and alpha be the coefficient of linear expansion, then

Options

A. `(DeltaI)/I=(2 DeltaR)/R`
B. `(DeltaI)/I=(Deltaomega)/(omega_(0))`
C. `(Deltaomega)/(omega_(0))=-2 alpha Delta T`
D. `(Delta I)/I=-(2 DeltaR)/R`