Question

A liquid is under stream lined motion through a horizontal pipe of nonuniform cross section. If the volume rate of flow at cross section ${}^{\prime }{a}^{\prime }$ is $V$,the volume rate of flow at cross section $\frac{a}{2}$ is:

• A. $\frac{V}{2}$
• B. $2V$
• C. $\frac{V}{4}$
• D. $V$

Answer 1

The correct option is D $V$

By equation of continuity, volume entering the pipe per second is equal to volume leaving the pipe per second irrespective the area of cross section of pipe.
Hence, for a liquid under stream lined motion through a horizontal pipe of nonuniform cross section volume is constant through out the pipe.