If the radius of the earth were to shrink by $1\%$ its mass remaining the same, the acceleration due to gravity on the earth's surface would

  • [IIT 1981]
  • A

    Decrease by $2\%$

  • B

    Remain unchanged

  • C

    Increase by $2\%$

  • D

    Increase by $1\%$

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  • [IIT 2023]