Given below are two statements:

Statement $I:$ Acceleration due to earth's gravity decreases as you go 'up' or 'down' from earth's surface.

Statement $II:$ Acceleration due to earth's gravity is same at a height ' $h$ ' and depth ' $d$ ' from earth's surface, if $h = d$.

In the light of above statements, choose the most appropriate answer form the options given below

  • [JEE MAIN 2023]
  • A

    Statement $I$ is incorrect but statement $II$ is correct

  • B

    Both Statement $I$ and Statement $II$ are incorrect

  • C

    Statement $I$ is correct but statement $II$ is incorrect

  • D

    Both Statement $I$ and $II$ are correct

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Acceleration due to gravity at surface of a planet is equal to that at surface of earth and density is $1.5$ times that of earth. If radius of earth is $R$, radius of planet is .................

Given below are two statements :

Statement $I$ : The law of gravitation holds good for any pair of bodies in the universe.

Statement $II$ : The weight of any person becomes zero when the person is at the centre of the earth. In the light of the above statements, choose the correct answer from the options given below.

  • [JEE MAIN 2022]

At what altitude in metre will the acceleration due to gravity be $25\%$ of that at the earth's surface (Radius of earth $= R\, metre$)