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Grade: 9
        
A tank of cross section A contains a liquid of density up to a height H. There is a of cross section a, at the bottom of tank. The time in which the liquid is required to half is
 
2 months ago

Answers : (2)

Arun
23520 Points
							
p { margin-bottom: 0.25cm; line-height: 120%; }

Let v be the velocity at the surface of liquid. Then from continuity principle, velocity at the orifice will be 3v.

From Bernouli's principle, we have,

where P = atmospheric pressure,  is the density of the liquid.

Solving above equation for v, we have

differentiating both sides with respect to time, we get

 

 

Acceleration is negative as velocity is decreasing, as H is decreasing.

Note, acceleration is constant, it does not depend on the value of H

2 months ago
Vikas TU
10070 Points
2 months ago
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