A small ball of mass $'m'$ is released at a height $'R'$ above the Earth surface, as shown in the figure. If the maximum depth of the ball to which it goes is $R/2$ inside the Earth through a narrow grove before coming to rest momentarily. The grove, contain an ideal spring of spring constant $K$ and natural length $R,$ the value of $K$ is ( $R$ is radius of Earth and $M$ mass of Earth)

827-841

  • A

    $\frac {3GMm}{R^3}$

  • B

    $\frac {6GMm}{R^3}$

  • C

    $\frac {9GMm}{R^3}$

  • D

    $\frac {7GMm}{R^3}$

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