Question

A large open tank has two holes on the wall. One is a square hole of side L at a depth y from the top and other is a circular hole of radius R at a depth 4y from the top when the tank is completely filled with water flowing out per second from the two holes are the same then, the value of R is

Answer 1

Answer:

Equating the rate of flow, we have

(2gy)−−−−√×L2=(2g×4y)−−−−−−−−√πR2

[Flow=(area)xx(velocity), velocity=2gx−−−√]

where x=height from top

⇒L2=2πR2⇒R=L2π