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:

Question

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:, 4, 1, 2, 3

MARKS App · Accepted Answer

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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