A) \[\frac{L}{\sqrt{2\pi }}\]
B) \[2\pi L\]
C) \[L\]
D) \[\frac{L}{2\pi }\]
Correct Answer: A
Solution :
Velocity of efflux, \[v=\sqrt{2gh}\] where, h denotes the depth of the hole. The quantities of water flowing put per second from both holes are given to be the same \[{{A}_{1}}{{v}_{1}}={{A}_{2}}{{v}_{2}}\] \[{{(L)}^{2}}\sqrt{2gy}=(\pi {{R}^{2}})\sqrt{2g(4y)}\] \[{{(L)}^{2}}=2\pi {{R}^{2}}\] \[R=\frac{L}{\sqrt{2\pi }}\]
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