A) \[\frac{2hu}{g{{b}^{2}}}\]
B) \[\frac{2h{{u}^{2}}}{g{{b}^{2}}}\]
C) \[\frac{2h{{u}^{2}}}{gb}\]
D) \[\frac{h{{u}^{2}}}{g{{b}^{2}}}\]
Correct Answer: B
Solution :
Let the ball strike the, nth step after r second. Vertical distance travelled by ball \[=nh=\frac{1}{2}g{{t}^{2}}.\] Horizontal distance travelled by ball \[=nb=ut\] or \[t=\frac{nb}{u}\] \[nh=\frac{1}{2}g{{\left( \frac{nb}{u} \right)}^{2}}\] or \[n=\frac{2{{u}^{2}}}{g}\frac{h}{{{b}^{2}}}\]
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