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  1. The radius of a planet is twice the radius of earth. Both have almost equal average mass-densities. If VP and VE are escape velocities of the planet and the earth, respectively, then
    1. VE = 1.5VP
    2. VP = 1.5VE ​
    3. VP = 2VE
    4. VE = 3VP
Correct Option: C

Escape velocity, Ve = R √(8 / 3) π GP

⇒ Ve ∝ R ⇒
VP
 =
RP
 = 2
VERE

⇒ VP = 2 VE


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