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