When water flows through a right-angled V-notch, show that the discharge is given by Q = KH 5/2 , in which k is a dimensional constant and H is the height of water surface above the bottom of the...

When water flows through a right-angled V-notch, show that the discharge is given by Q = KH 5/2 , in which k is a dimensional constant and H is the height of water surface above the bottom of the notch. (i) What are the dimensions of K if H is in metres and Q in metres cubed per second? (ii) Determine the head causing flow when the discharge through this notch is 1.42 L/s. Take C d = 0.62. (iii) Find the accuracy with which the head in (ii) must be measured if the error in the estimation of discharge is not to exceed 1.5%.