Hydraulics and Fluid Mechanics in ME
The hydraulic efficiency of an impulse turbine is the

Ratio of the work done on the wheel to the energy of the jet
Ratio of the actual power produced by the turbine to the energy actually supplied by the turbine
None of these
Ratio of the actual work available at the turbine to the energy imparted to the wheel

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Hydraulics and Fluid Mechanics in ME
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)

Q = (2/3) Cd × b × √(2g) × (H2 - H1)
Q = (2/3) Cd × b × √(2g) × (H21/2 - H11/2)
Q = (2/3) Cd × b × √(2g) × (H22 - H12)
Q = (2/3) Cd × b × √(2g) × (H23/2 - H13/2)

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Hydraulics and Fluid Mechanics in ME
A compound pipe of diameter d1, d2 and d3 having lengths l1, l2 and l3 is to be replaced by an equivalent pipe of uniform diameter d and of the same length (l) as that of the compound pipe. The size of the equivalent pipe is given by

l/d³ = (l₁/d₁³) + (l₂/d₂³) + (l₃/d₃³)
l/d⁵ = (l₁/d₁⁵) + (l₂/d₂⁵) + (l₃/d₃⁵)
l/d² = (l₁/d₁²) + (l₂/d₂²) + (l₃/d₃²)
l/d⁴ = (l₁/d₁⁴) + (l₂/d₂⁴) + (l₃/d₃⁴)

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Hydraulics and Fluid Mechanics in ME
A piece of metal of specific gravity 13.6 is placed in mercury of specific gravity 13.6, what fraction of it volume is under mercury?

Metal piece will sink to the bottom
Whole of the metal piece will be immersed with its top surface just at mercury level
The metal piece will be immersed in mercury by half
The metal piece will simply float over the mercury

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