The reading of a pressure meter attached with a closed water pipe is 3.5 x 10⁵ N m^-2. On opening the valve of the pipe, the reading of pressure meter is reduced to 3 x 10⁵ N m^-2. Calculate the speed of water flowing in the pipe.

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10 cm/s

10 m/s

0.1 m/s

0.1 cm/s

answer is B.

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Detailed Solution

$\begin{array}{l} \frac{P_{1}}{r} + \frac{1}{2} v_{1}^{2} = \frac{P_{2}}{r} + \frac{1}{2} v_{2}^{2} \\ P_{1} - P_{2} = \frac{1}{2} μ (v_{2}^{2} - v_{1}^{2}) (∵ v_{1} = 0) \end{array}$

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