An inclined plane is bent in such a way that the vertical cross-section is given by $y =\frac{ x ^{2}}{4}$ where $y$ is in vertical and $x$ in horizontal direction. If the upper surface of this curved plane is rough with coefficient of friction $\mu=0.5,$ the maximum height in $cm$ at which a stationary block will not slip downward is............$cm$

  • [JEE MAIN 2021]
  • A

    $20$

  • B

    $25$

  • C

    $16$

  • D

    $30$

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  • [AIIMS 2001]

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