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Question

The escape velocity from the surface of the earth is $$V_{e}$$. The escape velocity from the surface of a planet whose mass and radius are three times those of the earth, will be

A
$$3V_{e}$$
B
$$9V_{e}$$
C
$$V_{e}$$
D
$$\dfrac {1}{3V_{e}}$$
Solution
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Correct option is A. $$V_{e}$$
$$v_e= \sqrt{\dfrac{2GM}{R}} \therefore \ v_e \propto \sqrt{\dfrac{M}{R}}$$
If mass and radius of the planet are three times than that of earth then escape velocity will be same.

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