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 both the holes are the same. Then R is equal to

Question

Infinity Learn · Accepted Answer

Velocity of efflux when the hole is at depth h, $$v=2ghRate$$ of flow of water from square hole $$Q1=a1v1$$ $$=$$  $$L22gyRate$$ of flow of water from circular hole $$Q2=a2v2$$ $$=$$  π$$R22g(4y)According$$ to problem  $$Q1=Q2$$⇒$$L22gy=$$π$$R22g(4y)$$⇒$$R=L2$$π

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material