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JEE Main201912 Jan 2019Evening ShiftPhysicsGravitationActual

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

Options

  1. A2
  2. B1 2
  3. C1
  4. D1 2

Correct answer

C. 1

Step-by-step solution

Let v be the orbital velocity of the satellite which is given as v = G M r Here M be the mass of the earth, m be the mass of satellite and r is the orbit radius. Kinetic energy, K = 1 2 m v 2 = 1 2 m G M r 2 = G M m 2 r ∝ m r Ratio, K A K B = m A m B × r B r A = m 2 m × 2 R R = 1

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