Question

The error in discharge due to error in the measurement of head over a triangular notch is given by:

• A. \( \frac{\partial Q}{Q} = \frac{1}{2} \frac{dH}{H} \)
• B. \( \frac{\partial Q}{Q} = \frac{3}{2} \frac{dH}{H} \)
• C. \( \frac{\partial Q}{Q} = \frac{5}{2} \frac{dH}{H} \)
• D. \( \frac{\partial Q}{Q} = \frac{7}{2} \frac{dH}{H} \)

Hint:

When working with flow measurements, remember the specific error formulas for different types of notches (triangular, rectangular, etc.).

Answer 1

The Correct Option is C

The error in discharge due to error in the measurement of head over a triangular notch is proportional to the change in head. The specific formula for this error in discharge is given as: \[ \frac{\partial Q}{Q} = \frac{5}{2} \frac{dH}{H} \] Thus, the correct answer is \( \frac{5}{2} \frac{dH}{H} \).