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Consider a water tank as shown in the figure. It’s cross – sectional area is $0.4 m^{2}$ . The tank has an opening B near the bottom whose cross-section area is $1 c m^{2}$ . A load of 24 kg is applied on the water at the top when the height of the water level is 40 cm above the bottom. The value of $υ$ , to the nearest integer, is______[Take value of g to be $10 m s^{- 2}]$

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answer is 3.

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Detailed Solution

Applying Bernouli’s theorem, at ‘A’ and ‘B’
$P_{A} + ρ g h = P_{B} + \frac{1}{2} ρ v^{2}$ $P_{0} + \frac{m g}{A} + ρ g h = P_{0} + \frac{1}{2} ρ v^{2}$
Simplifying, we get $v = 3 m / s$

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