Fluid MechanicsHard
Question
A water tank stands on the roof of a building as shown in the figure. Then the value of h for which the distance covered by the water ′x′ is greatest is
Options
A.0.5 m
B.0.67 m
C.1 m
D.none of these
Solution
Vefflux =
time of fall t =
x = Vefflux t =
the roots of x are (0,4) and the maximum of x is at h = 2.
The permitted value of h is 0 to 1 clearly h = 1 will give the
maximum value of x is this interval.
Alter : If the column of water itself were from ground upto a height of 4m, h = 2m would give the maximum range x. Farther the hole is from this midpoint, lower the range. Here the nearest point possible to this midpoint is the base of the container. Hence h = 1m.
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