1.

A cylindrical tank, filled with water, has an area of 10m^2. A piston covers its entire top surface. A uniformly distributed load of 1000N is applied on the piston from top. A hole of area 0.001m^2is at the bottom of the tank. Find the speed of efflux when the height of water level is 0.1m .(a) 24.5m/s(b) 1.48m/s(c) 0.2m/s(d) 2m/sI got this question during an online interview.The origin of the question is Fluids Mechanical Properties topic in section Mechanical Properties of Fluids of Physics – Class 11

Answer»

Right choice is (b) 1.48m/s

The explanation: We should apply Bernoulli theorem between the TOP surface of water and the HOLE.The area of hole is very small when compared to the area of the tank.So, 1/2ρv^2 at the top surface of the tank can be neglected.

P0 + F/AP + ρgh = P0 + 1/2ρv^2

∴ 1000/10 + 1000*10*0.1 = 0.5*1000 *V^2

∴ v = 1.48m/s



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