Two satellites $P$ and $Q$ are moving in different circular orbits around the Earth(radius $R$). The heights of $P$ and $Q$ from the Earth surface are $h_P$ and $h_Q$, respectively, where $h_P=\frac{R}{3}$. The accelerations of $P$ and $Q$ due to Earth’s gravity are $g_P$ and $g_Q$, respectively. If $\frac{g_P}{g_Q}=\frac{36}{25}$, what is the value of $h_Q$?

• Correct answer
  A

  $\frac{3R}{5}$
• B

  $\frac{R}{6}$
• C

  $\frac{6R}{5}$
• D

  $\frac{5R}{5}$

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