A manometer connected to a closed tap reads `4.2 xx 10^(6) N/m^(2)` and when tap is opened the readin of manometer falls to `4.0 xx 10^(6) N/m^(2)` . Find the speed of flow of water.

Explanation

To solve the problem, we will use Bernoulli's equation, which relates the pressure, velocity, and height in a fluid flow. The equation can be expressed as:

\[ \frac{P_1}{\rho} + \frac{v_1^2}{2} + gh_1 = \frac{P_2}{\rho} + \frac{v_2^2}{2} + gh_2 \]

Where:
- \(P_1\) and \(P_2\) are the pressures at two points,
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