Horizontal tbe of non -uniform cross section has radii of 0.1 m and 0.5 m respectively at M and N. For a streamline flow of liquid the rate of liquid flow is

Options

A. continuously changes with time
B. greater at M than at N
C. greater at N than at M
D. same at M and N

Answer

D

Explanation

According to principle of continuity, for a 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 cube.
i.e. Av=constant
or `A_(1)v_(1)=A_(2)v_(2)`
Therefore, the rate of flow of fluid is same at M and N.