A ball of mass $0.5 \mathrm{~kg}$ is attached to a string of length $50 \mathrm{~cm}$. The ball is rotated on a horizontal circular path about its vertical axis. The maximum tension that the string can bear is $400 \mathrm{~N}$. The maximum possible value of angular velocity of the ball in rad/s is,:

  • [JEE MAIN 2024]
  • A

    $1600$

  • B

    $40$

  • C

    $1000$

  • D

    $20$

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