$A$ large open tank has two holes in the wall. One is a square hole of side $L$ at a depth $y$ from the top and the other is a circular hole of radius $R$ at a depth $4y$ from the top. When the tank is completely filled with water, the quantities of water flowing out per second from the two holes are the same. Then the value of $R$ is
- A$\frac{L}{\sqrt{2 \pi}}$
- B$2 \pi L$
- C$L \sqrt{\frac{2}{\pi}}$
- D$\frac{L}{2 \pi}$
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