If the average velocity of a river increases from 2 m/s to 4 m/s, how does the d

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Question: If the average velocity of a river increases from 2 m/s to 4 m/s, how does the discharge change if the width remains constant?

Options:

Correct Answer: Doubles

Solution:

Discharge is directly proportional to velocity. If velocity doubles, discharge also doubles.

If the average velocity of a river increases from 2 m/s to 4 m/s, how does the discharge change if the width remains constant?

If the average velocity of a river increases from 2 m/s to 4 m/s, how does the discharge change if the width remains constant?

Step 1: Understand what discharge means. Discharge is the amount of water flowing through a river per second.
Step 2: Know that discharge (Q) can be calculated using the formula: Q = A * V, where A is the cross-sectional area and V is the velocity.
Step 3: Recognize that if the width of the river remains constant, the cross-sectional area (A) also remains constant.
Step 4: Observe that the average velocity of the river increases from 2 m/s to 4 m/s. This means the velocity has doubled.
Step 5: Since discharge is directly proportional to velocity, if the velocity doubles, the discharge also doubles.
Step 6: Conclude that if the average velocity increases from 2 m/s to 4 m/s, the discharge will also double.

Discharge and Velocity Relationship – Discharge (Q) is calculated as the product of cross-sectional area (A) and average velocity (v) of the fluid, expressed as Q = A * v. If the width remains constant, an increase in velocity directly increases discharge.