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JEE Main20209 Jan 2020Evening ShiftPhysicsGravitationActual

Planet A has mass M and radius R . Planet B has half the mass and half the radius of Planet A . If the escape velocities from the Planets A and B are v A and v B , respectively, then v A v B = n 4 . The value of n is:

Options

  1. A4
  2. B1
  3. C2
  4. D3

Correct answer

A. 4

Step-by-step solution

v e = 2 G M R ∴ v A v B = 2 G M R 2 G M / 2 R / 2 = 1 = n 4 ⇒ n = 4

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