If the Earth has no rotational motion, the weight of a person on the equator is $W$. Determine the speed with which the earth would have to rotate about its axis so that the person at the equator will weight $\frac{3}{4}\,W$ . Radius of the Earth is $6400\, km$ and $g = 10\, m/s^2$

  • [JEE MAIN 2017]
  • A

    $1.1 \times {10^{ - 3}}\,rad/s$

  • B

    $0.83 \times {10^{ - 3}}\,rad/s$

  • C

    $0.63 \times {10^{ - 3}}\,rad/s$

  • D

    $0.28 \times {10^{ - 3}}\,rad/s$

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  • [JEE MAIN 2022]