A constant power is supplied to a disc that can rotate freely about a fixed vertical axis. Angular velocity $\left(\mathrm{\omega }\right)$ of the disc varies with the number of rotations ($\mathrm{n}$) made by the disc after starting from rest as $\mathrm{\omega }=\mathrm{k}{\mathrm{n}}^{\mathrm{x}}$. Hence $\mathrm{x}$ is: (K is a constant)

• Correct answer
  A

  $\frac{1}{3}$
• B

  $\frac{3}{2}$
• C

  $\frac{2}{3}$
• D

  $2$

Hence, the correct answer is option: 'A'.