A river widens while maintaining constant slope and depth.How would the velocity and discharge change?
A)velocity decreases,discharge increases
B)velocity increases,discharge decreases
C)velocity remains constant,discharge remains constant
D)velocity decreases,discharge remains constant

Question

Quizplus · Accepted Answer

When a river widens while maintaining a constant slope and depth, the cross-sectional area increases. According to the continuity equation (Q = A*v, where Q is discharge, A is cross-sectional area, and v is velocity), if the area increases and discharge remains constant, the velocity must decrease. Discharge remains constant because it is a product of the cross-sectional area and velocity, and any changes in velocity are offset by changes in area, assuming no additional water is added or removed from the system.

A River Widens While Maintaining Constant Slope and Depth