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The escape velocity from the surface of the earth is vₑ. The escape velocity from the surface of a planet whose mass and radius are three times those of the earth, will be:

1. vₑ
2. 3vₑ
3. 9vₑ
4. 1/3vₑ

Correct answer: 3vₑ

Solution

Escape velocity is given by vₑ = √(2GM/R). If the mass and radius of the planet are three times those of Earth, the escape velocity becomes vₑ' = √(2G(3M)/(3R)) = √3 * vₑ. Hence, the escape velocity is 3vₑ.

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