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Standard XII

Physics

Thermodynamic Processes

Water is flow...

Question

Water is flowing with velocity $4 m s^{- 1}$ in a cylinder of diameter 8 cm. It is connected to a pipe with it end tip of diameter 2 cm. Calculate the velocity of water at this free end.

4 {m s}^{- 1}

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8 {m s}^{- 1}

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32 {m s}^{- 1}

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64 {m s}^{- 1}

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Solution

The correct option is B $64 {m s}^{- 1}$
Since the water flows continuously, the amount of volume flowing per second remains same throughout the pipe.
Thus, $A_{1} v_{1} = A_{2} v_{2}$
$\Rightarrow (π {0.04}^{2}) (4) = (π {0.01}^{2}) (v_{2})$
$\Rightarrow v_{2} = 64 m / s$

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Water is flowing with velocity 4ms−1 in a cylinder of diameter 8 cm. It is connected to a pipe with it end tip of diameter 2 cm. Calculate the velocity of water at this free end.

The correct option is B 64 ms−1Since the water flows continuously, the amount of volume flowing per second remains same throughout the pipe.Thus, A1v1=A2v2⇒(π0.042)(4)=(π0.012)(v2)⇒v2=64m/s

Water is flowing with velocity $4 m s^{- 1}$ in a cylinder of diameter 8 cm. It is connected to a pipe with it end tip of diameter 2 cm. Calculate the velocity of water at this free end.

The correct option is B $64 {m s}^{- 1}$
Since the water flows continuously, the amount of volume flowing per second remains same throughout the pipe.
Thus, $A_{1} v_{1} = A_{2} v_{2}$
$\Rightarrow (π {0.04}^{2}) (4) = (π {0.01}^{2}) (v_{2})$
$\Rightarrow v_{2} = 64 m / s$