Assuming the earth to be a sphere of uniform density the acceleration due to gravity

  • A

    at a point outside the earth is inversely proportional to the square of its distance from the centre

  • B

    at a point outside the earth is inversely proportional to its distance from the centre

  • C

    at a point inside is proportional to its distance from the centre.

  • D

    $(A)$ and $(C)$ both

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  • [IIT 2014]