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 hP, and hQ, respectively, where \(h_{P}=\frac{R}{3}\). The accelerations of P and Q due to Earth's gravity are gP and gQ. respectively. If \(\frac{g_{P}}{g_{Q}}=\frac{36}{25},\) what is the value of hQ?

1
\(\frac{3R}{5}\)
2
\(\frac{R}{6}\)
3
\(\frac{6R}{5}\)
4
\(\frac{5R}{5}\)

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