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 =R / 3. The accelerations of P and Q due to Earth's gravity are g P and g Q, respectively. If g P / g Q =36 / 25, what is the value of h Q ?

Unclassified (physics): JEE Advanced 2023 Physics question

JEE Advanced 2023 · JEE Adv 2023 Paper 1, Paper 1 · Q24

JEE Advanced 2023JEE Adv 2023 Paper 1, Paper 1PhysicsHardUnclassified (physics)

Two satellites

\mathrm{P}

and

\mathrm{Q}

are moving in different circular orbits around the Earth (radius

R

). The heights of

\mathrm{P}

and

\mathrm{Q}

from the Earth surface are

h_{\mathrm{P}}

and

h_{\mathrm{Q}}

, respectively, where

h_{\mathrm{P}}=R / 3

. The accelerations of

\mathrm{P}

and

\mathrm{Q}

due to Earth's gravity are

g_{\mathrm{P}}

and

g_{\mathrm{Q}}

, respectively. If

g_{\mathrm{P}} / g_{\mathrm{Q}}=36 / 25

, what is the value of

h_{\mathrm{Q}}