43. A cylindrical tank is filled with water to a level of 3m. A hole is opened at a height of 52.5cm from bottom. The
ratio of the area of the hole to that of cross-sectional area of the cylinder is 0.1. Find the square of the velocity with
which water is coming out. (g = 10 ms)
(a) 50m²-2
(b) 40m²-2
(c) 51.5ms-2
(d) 50.5 ms-2
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Answer:
Suppose I be the area of cross section of tank, a be the area of hole, ve be the velocity of efflux, h be the height of liquid above the hole, Let v be the speed with which the level decreases in the container. Using equation of continuity, we get ave = Av or v = ave/A
Using Bernoulli's theorem, we have
see the attachment
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