question_answer

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

C)  greater at N than at M

D)  same at M and N

Correct Answer: C

Solution :

The velocity of flow will increase if cross-section decreases and vice-versa. \[ie,\]    \[{{A}_{1}}{{v}_{1}}={{A}_{2}}{{v}_{2}}\] or            \[Av=\]constant Therefore, the rate of liquid flow will be greater at\[N\]than at\[M\].