Q1: The ratio of the percentage error in the discharge and percentage error in the measurement of head, over rectangular notch, is

ANS:C - 3/2

The ratio of the percentage error in the discharge and the percentage error in the measurement of head over a rectangular notch can be calculated using principles of error propagation. Let's denote the percentage error in discharge as Ed​ and the percentage error in the measurement of head as Eh​. The ratio can be expressed as: Ratio=Ehd/Eh​​ For a rectangular notch, the discharge is proportional to H^3/2, where H is the head. Thus, we can use the power rule of error propagation. The power rule states that if Q=kHn, thenEd/Q​​=n Eh/H​​. For a rectangular notch, n=3/2 So, the ratio of errors becomes: Ratio=3/2 Eh​​/eh =3/2 Therefore, the correct ratio of the percentage error in the discharge to the percentage error in the measurement of head over a rectangular notch is 3/2​.