An artificial satellite is revolving around a planet of radius $R$ in a circular orbit of radius ' $a$ '. If the time period of revolution of the satellite, $T \propto a^{3 / 2} g^x R^y$, then the values of $x$ and $y$ are respectively [ g - acceleration due to gravity]

• A

  $1, \frac{1}{2}$
• B

  $\frac{1}{2}, 1$
• C

  $-\frac{1}{2}, \frac{1}{2}$
• Correct answer
  D

  $\frac{-1}{2},-1$

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