Planet A has mass M and radius R . Planet B has half the mass and half the radius of Planet A . If the…

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 vA and vB, respectively, then vAvB=n4. The value of n is:
  1. 4
  2. 1
  3. 2
  4. 3

Solution

ve=2GMR
∴vAvB=2GMR2GM/2R/2=1=n4
⇒n=4

Asked in: JEE Main 2020 (09 Jan Shift 2)

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