An ideal liquid flowing through a pipe A of cross-section $0.2 m^{2}$ with velocity $10 m / s$ enters a T-junction. One side of the T-junction B has cross-section area $0.1 m^{2}$ and the other side C hascross-section area $0.05 m^{2}$ . If the velocity of water in C is $15 m / s$ then in B the velocity is

1 m / s

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10 m / s

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12.5 m / s

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1 c m / s

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Solution

The correct option is C $12.5 m / s$
Form the continuity equation,
$\Rightarrow 0.2 \times 10 = 0.05 \times 15 + 0.1 v$
$\Rightarrow 2 = 0.75 + 0.1 n$
$\Rightarrow \frac{2 - 0.75}{0.1} = v \Rightarrow v = 12.5 m / s$

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