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Two water pipes \mathrm{P} and \mathrm{Q} having diameters 2 \times 10^{-2} \mathrm{~m} and 4 \times 10^{-2} \mathrm{~m}, respectively, are joined in series with the main supply line of water. The velocity of water flowing in pipe \mathrm{P} is

Option: 1

4 times that of Q
 


Option: 2

2 times that of Q
 


Option: 3

1 / 2 times of that of Q
 


Option: 4

1 / 4 times that of Q


Answers (1)

From \mathrm{A_p V_p=A_Q V_Q}

\mathrm{ \begin{aligned} & \frac{V_P}{V_Q}=\frac{A_Q}{A_P}=\frac{\pi\left(2 \times 10^{-2}\right)^2}{\pi\left(1 \times 10^{-2}\right)^2} \\ & V_P=4 V_Q \end{aligned} }

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Kshitij

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