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A pipe line of diameter 5 cm is connected to a nozzle whose outlet diameter is 1 cm. If water is flowing in the pipe line with a speed of 0.5 m/s, with what speed is water coming out of the nozzle?

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7.5 m/s

12.5 m/s

10 m/s

25 m/s

answer is B.

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Detailed Solution

By equation of continuity

$V^{1} \times π r^{2} = V \times π R^{2}$

$\Rightarrow V^{1} = V {(\frac{R}{r})}^{2} = 0.5 {(\frac{5}{1})}^{2} m / s = 12.5 m / s$

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