question_answer

Rises rill half the number of stones are unloaded and then begins to fall A container who square base of side a is filled up to a height H with a liquid. A hole is made at a depth h from the free surface of water. With what acceleration the container must be accelerated, so that the water does not come out?

A)  g                                            

B) \[\frac{g}{2}\]

C) \[\frac{2gH}{2}\]                                             

D) \[\frac{2gh}{a}\]

Correct Answer: D

Solution :

                 Bernoullis theorem is a form of conservation of energy, hence we have \[{{H}_{0}}+h\rho g={{H}_{0}}+\frac{1}{2}\rho {{V}^{2}}\] When vessel is accelerated down with an acceleration g (free fall), then pseudo acceleration g will act vertically upwards and effective value of g is zero. Hence, water will not flow.