Given below are two statements: Statement I: For a planet, …

Physics Gravitation Statement Based MCQ (Single Correct)

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

Statement I is incorrect but Statement II is correct

Statement I is correct but statement II is incorrect

Both Statement I and Statement II are incorrect

Both Statement I and Statement II are correct

Text Solution

Verified by Experts

The correct answer is:

The escape velocity is given by the formula

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.

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