A ball rolls from the top of a stair way with a horizontal velocity $u\; m /s$ . If the steps are $h\; m$ high and $b\; m$ wide, the ball will hit the edge of the $n^{th}$ step, if $n=$

  • A

    $\frac{{h{u^2}}}{{g{b^2}}}$

  • B

    $\frac{{{u^2}8}}{{g{b^2}}}$

  • C

    $\frac{{2h{u^2}}}{{g{b^2}}}$

  • D

    $\frac{{2{u^2}g}}{{h{b^2}}}$

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