1. Tardigrade
  2. Question
  3. Physics
  4. Two satellites, A and B, have masses m and 2m respectively. A is in a circular orbit of radius R, and B is in a circular orbit of radius 2R around the earth. The ratio of their kinetic energies, TA/TB, is:

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Two satellites, $A$ and $B$, have masses $m$ and $2m$ respectively. A is in a circular orbit of radius $R$, and $B$ is in a circular orbit of radius $2R$ around the earth. The ratio of their kinetic energies, $T_A/T_B$, is:

JEE MainJEE Main 2019Gravitation

Solution:

Orbital velocity $V = \sqrt{\frac{GMe}{r}}$
$T_A \, = \, \frac{1}{2} \, m_A V_A^2$
$T_B \, = \, \frac{1}{2}m_B V_B^2$
$\Rightarrow \, \, \frac{T_A}{T_B} \, = \, \frac{m \times \, \frac{Gm}{R}}{2m \times \, \frac{Gm}{2R}}$
$\Rightarrow \, \, \frac{T_A}{T_B} \, = \, 1$