MCQ
Horizontal tube of non-uniform cross-section has radii of  $0.1\,m$ and  $0.05\,m$ respectively at $M$  and  $N.$  For a stream-line flow of liquid the rate of liquid flow is
  • A
    Continuously changes with time
  • B
    Greater at  $M$  than at $N$
  • C
    Greater at $N$  than at  $M$
  • Same at $M$  and  $N$

Answer

Correct option: D.
Same at $M$  and  $N$
d
According to principle of continuity, for streamline flow of fluid

through a tube of non-uniform cross-section the rate of flow of fluid

(Q) is same at every point in the tube.

$Av =$ constant $\Rightarrow A _{1} v _{1}= A _{2} v _{2}$

Therefore, the rate of flow of fluid is same at $M$ and $N$.

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