JEE Advanced2024PhysicsMechanical Properties of FluidsActual
Two large, identical water tanks, 1 and 2, kept on the top of a building of height H , are filled with water up to height h in each tank. Both the tanks contain an identical hole of small radius on their sides, close to their bottom. A pipe of the same internal radius as that of the hole is connected to tank 2 , and the pipe ends at the ground level. When the water flows from the tanks 1 and 2 through the holes, the
Correct answer
0
Step-by-step solution
aligned & Av = av ₁ & ~A (- dy dt )= a 2 gy ; dt = A a 2 ~g -d y y & ₀^ t₁ dt = A a 2 ~g _ h ^0- d y y & t₁= A a 2 ~g 2 h ; t ₁= A a 2 h g aligned A v^ = av ₂ aligned & A (- d y d t )=a 2 g(H+y) & d t=- A a 2 g d y H+y & ₀^ t₂ d t=- A a 2 g _H^0 d y H+y & t₂= A a 2 g (2)( H+h - H ) & H= 16 h 9 & = A a 2 h g ( 5 3 - 4 3 ) & t₂= A a 2 h g ( 1 3 ) aligned ratio t ₁ t ₂ =3