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A ball rolls of the top of a stair way with a horizontal velocity $u m s^{- 1}$ .If the steps are h m high and b m wide, the ball hit the edge of the nth step, if

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

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

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

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

answer is B.

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Detailed Solution

Since $y = \frac{g x^{2}}{2 u^{2}}$
When $x = n b a n d y = n h, t h e n$
$n = \frac{2 h u^{2}}{g b^{2}}$

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