Horizontal tube of non-uniform cross-section has radii of 0.1m and 0.05m 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 is same at every point in the tube. i.e., Av = constant or `A_(1) v_(1) = A_(2) v_(2)`
Therefore, the rate of flow of fluid is same at M adn N.