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At a point P in a water pipe line the velocity is 1 ms^-1 and the pressure is 3×10⁵ pa . At another point Q the area of cross section is half that of at P and the pressure is 5×10⁵ pa . The difference of heights between P and Q in metre is ( g = 10 ms^-2)

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20.15

10.5

4.5

answer is B.

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Detailed Solution

$p_{1} + \frac{1}{2} {ρv}_{1}^{2} + {ρgh}_{1} = p_{2} + \frac{1}{2} {ρv}_{2}^{2} + {ρgh}_{2}$

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