A uniform solid brass cylinder of mass M=0.5 Kg and radius R=0.03m is placed in frictionless bearings and set to rotate about its geometrical axis with an angular velocity of 60 rad/s. After the cylinder has reached the specified state of rotation, it is heated (without any mechanical contact) from room temperature 20°C to 100°C. The fractional change in angular velocity of the cylinder is

$\left(\mathrm{\alpha }=2\times {10}^{-5}{/}^{\circ }\mathrm{C}\right)$

• A

  $-3.2\times {10}^{-3}$

• B

  $3.2\times {10}^{-3}$

• C

  $2.3\times {10}^{-3}$

• D

  $-2.3\times {10}^{-3}$