Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure guage attached to the pipe is . The reading of the pressure gauge falls to when the valve is opened. The speed of water flowing in the pipe is proportional

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Solution

Q.
Water flows in a horizontal pipe whose one end is closed with a valve. The reading of the pressure guage attached to the pipe is $P_{1}$ . The reading of the pressure gauge falls to $P_{2}$ when the valve is opened. The speed of water flowing in the pipe is proportional to [2025]

1 $\sqrt{P_{1} - P_{2}}$

2 ${(P_{1} - P_{2})}^{2}$

3 ${(P_{1} - P_{2})}^{4}$

4 $P_{1} - P_{2}$

Ans.
(1)

Using Bernoulli's theorem

$P_{1} - P_{2} = \frac{1}{2} ρ v^{2}$

$v \propto \sqrt{P_{1} - P_{2}}$

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