$T$ is the time period of simple pendulum on the earth's surface. Its time period becomes $x T$ when taken to a height $R$ (equal to earth's radius) above the earth's surface. Then, the value of $x$ will be:

  • [JEE MAIN 2023]
  • A

    $4$

  • B

    $2$

  • C

    $\frac{1}{2}$

  • D

    $\frac{1}{4}$

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