A large cylindrical tank of cross-sectional area 1 m 2 is filled with water. It has a small hole at a height of 1m from the bottom. A movable piston of mass 5 kg is fitted on the top of the tank such

Question

A large cylindrical tank of cross-sectional area $1 m^{2}$ is filled with water. It has a small hole at a height of 1m from the bottom. A movable piston of mass 5 kg is fitted on the top of the tank such that it can slide in the tank freely. A load of 45 kg is applied on the top of water by piston, as shown in figure. The value of v when piston is 7m above the bottom, is $(g = 10 m / s^{2})$

Options:

Answer:

D

Solution:

Water head above the hole: $h = 7 - 1 = 6 m$ ; piston adds pressure $P = \frac{50 \times 10}{1} = 500 Pa$ .

$v = 2 (g h + \frac{P}{ρ}) = 2 (60 + 0.5) = 121 = 11 m / s$

Answer: D

TestHub · Accepted Answer

Water head above the hole: h = 7 − 1 = 6 m ; piston adds pressure P = 1 50 × 10 ​ = 500 Pa . v = 2 ( g h + ρ P ​ ) ​ = 2 ( 60 + 0.5 ) ​ = 121 ​ = 11 m / s Answer: D

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