A liquid flows through a pipe of non-uniform cross-section. If `A_(1) and A_(2)` are the cross-sectional areas of the pipe at two points, the ratio of velocities of the liquid at these points will be

Options

A. `A_(1)A_(2)`
B. `(A_(1))/(A_(2))`
C. `(A_(2))/(A_(1))`
D. `(1)/(A_(1)A_(2))`

Answer

C

Explanation

Volume of liquid flowing at first point`=A_(1)v_(1)`
similarly, volume of liquid flowing at second point `=A_(2)v_(2)`
from equation of continuity
`A_(1)v_(1)=A_(2)v_(2)` or `(v_(1))/(v_(2))=(A_(2))/(A_(1))`