Q.

A large cylindrical tank has a hole of area A at its bottom and water is poured into the tank through a tube of cross-sectional area ‘A’ ejective water at the speed ‘V’. Which statement of the following is true?

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!
An Intiative by Sri Chaitanya

a

Water level will rise to a height v22g and then stop

b

The water level will be oscillating   

c

Water level in tank keeps on rising 

d

No water can be stored in the tank 

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Initially, the water flowing out will be less than that flowing into it. Hence, the water level will go on rising when the water level is ‘h’ the velocity of efflux is 2gh, when this becomes equal to the velocity of inflow, the level will become steady as the area of cross section of the filling tube and area of cross section of the hole are equal. This height is given by torricelli’s theorem,
 V=2gh  (or)  h=v22g
There after the water level will not rise.

Watch 3-min video & get full concept clarity
score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon
A large cylindrical tank has a hole of area A at its bottom and water is poured into the tank through a tube of cross-sectional area ‘A’ ejective water at the speed ‘V’. Which statement of the following is true?