A) \[2\sqrt{h(H-h)}\]
B) \[4\sqrt{h(H+h)}\]
C) \[4\sqrt{h(H-h)}\]
D) \[2\sqrt{h(H+h)}\]
Correct Answer: A
Solution :
Account to Bernoulli theorem, The velocity of water at point A \[V=\sqrt{2gh}\] If time taken (flight time) to reach point C is t Then, \[H-h=\frac{1}{2}g{{t}^{2}}\] \[t=\sqrt{\frac{2(H-h)}{g}}\] Now, horizontal range, R = velocity \[\times \] flight time \[\Rightarrow \] \[R=V\times t=\sqrt{2gh}\times \sqrt{\frac{2(H-h)}{g}}\] \[\Rightarrow \] \[R=2\sqrt{(H-h)}h\]You need to login to perform this action.
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