The discharge through a large rectangular orifice is given by (where H1 = Height of the liquid above the top of the orifice, H2 = Height of the liquid above the bottom of the orifice, b = Breadth of the orifice, and Cd = Coefficient of discharge)

[A]. Q = Cd x b2g(H2 – H1)
[B]. Q = Cd x b2g(H21/2 – H11/2)
[C]. Q = Cd x b2g(H23/2 – H13/2)
[D]. Q = Cd x b2g(H22 – H12)
✅ The correct answer is option C.

If p1, is the pressure of air entering the L.P. cylinder and p2 is the pressure of air leaving the L.P. cylinder (or intercooler pressure), then the ratio of cylinder diameters for a single acting, two stage reciprocating air compressor with complete intercooling is given by (where D1 = Dia. of L.P. cylinder, and D2 = Dia. of H.P. cylinder)

[A]. D1/D2 = p1p2
[B]. D1/D2 = p1/p2
[C]. D1/D2 = p2/p1
[D]. none of these
✅ The correct answer is option C.