Horizontal tube of non-uniform cross-section has radii of 0.1 m and 0.05 m respectively at $M$ and $N$. For a streamline flow of liquid, the rate of liquid flow is

• A

  changing continuously with time
• B

  greater at $M$ than at $N$
• Correct answer
  C

  greater at $N$ than at $M$
• D

  same at $M$ and $N$

Solution

The velocity of flow will increase if cross-section decreases and vice-versa. i.e., $\quad A_1 v_1=A_2 v_2$ or $A v=$ constant Therefore, the rate of liquid flow will be greater at $N$ than at $M$.

Hence, the correct answer is option: 'C'.