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NEETPhysicsGravitation

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

Options

  1. AStatement I is incorrect but Statement II is correct
  2. BStatement I is correct but statement II is incorrect
  3. CBoth Statement I and Statement II are incorrect
  4. DBoth Statement I and Statement II are correct

Correct answer

B. Statement I is correct but statement II is incorrect

Step-by-step solution

The escape velocity is given by the formula v esc = 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.

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