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

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Both statements I and statement II are correct

Statements I is incorrect but statement II is correct

Statements I is correct but statement II is incorrect

Both statements I and statement II are incorrect

answer is C.

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Detailed Solution

Escape velocity is given by $V_{e} = \sqrt{\frac{2 GM}{R}}$ ,

Hence when the mass to radius ratio increases the escape velocity also increases.

And escape velocity is dependent on the radius of the planet.

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