Given below are two statements: Statement I : For a planet, if the ratio of mass of the planet to its radius increase, the escape velocity from the planet also increase. Statement II : Escape velocity

Question

Given below are two statements: Statement I : For a planet, if the ratio of mass of the planet to its radius increase, the escape velocity from the planet also increase. Statement II : Escape velocity is independent of the radius of the planet. In the light of above statements, choose the most appropriate answer from the options given below

TestHub · Accepted Answer

The escape velocity is given by the formula
$v_{esc} = \sqrt{\frac{2 G M}{R}}$
Clearly, the escape velocity depends on the mass and radius of the planet. Hence, if the ratio increases the escape velocity also increases.
So, Statement I is correct while statement II is wrong.

Physics - Gravitation Question with Solution | TestHub

Options:

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