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 \( \frac{5}{2} \frac{dH}{H} \).