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Q.

Water flows through a hose pipe whose internal diameter is 4cm at a speed of 1 m/s. If water has the emerge at a speed of 4m/s then the diameter of the nozzle should be

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a

0.5 cm

b

1 cm

c

2 cm

d

4 cm

answer is B.

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Detailed Solution

According to the equation of continuity
$\begin{array}{l} A_{1} V_{1} = A_{2} V_{2} \\ π r_{1}^{2} V_{1} = π r_{2}^{2} V_{2} \\ r_{2} = 1 cm \\ d_{2} = 2 r_{2} = 2 cm \end{array}$

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