Escape velocity on a planet is ve. If radius of the planet remains same and mass becomes 4 times, the escape velocity becomes
Escape velocity on a planet is ve. If radius of the planet remains same and mass becomes 4 times, the escape velocity becomes
(A) 4ve
(B) 2ve
(C) ve
(D) 0.5 ve
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Correct option is: (B) \(2v_e\)
Escape Velocity
\(v_e = \sqrt {2gRe}\)
\(\frac{V_{e1}}{V_{e2}} \propto \sqrt \frac{4R_1}{R_1}\)
\(V_{escape \ 2} = 2 \ V_{escape \ 1}\)
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