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A horizontal pipe line carries water in a streamline flow. At a point along the pipe where the cross sectional area is $10 {cm}^{2}$ . The velocity of water is 1m/sec and the pressure is 2000Pa. At another point where the area of cross section is $5 {cm}^{2}$ then the pressure is ________Pa

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answer is 500.

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Detailed Solution

According to equation of continuity

$A_{1} V_{1} = A_{2} V_{2}; V_{2} = \frac{10}{5} = 2 m / \sec$

Now, acc to Bernoulli equation

$P_{1} + \frac{1}{2} ρ v_{1}^{2} = P_{2} + \frac{1}{2} ρ v_{2}^{2}$

( $∴$ Horizontal Pipe)

$P_{2} = 500 P a$

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