A cricket ball of mass $0.15\, kg$ is thrown vertically up by a bowling machine so that it rises to a maximum height of $20 \;m$ after leaving the machine. If the part pushing the ball applies a constant force $F$ on the ball and moves horizontally a distance of $0.2\, m$ while launching the ball, the value of $F($ in $N)$ is 

$\left(g=10\, m s^{-2}\right)$

  • [JEE MAIN 2020]
  • A

    $200$

  • B

    $150$

  • C

    $275$

  • D

    $325$

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