Hydraulics and Fluid Mechanics in ME
The power developed by a turbine is (where H = Head of water under which the turbine is working)

Inversely proportional to H1/2
Directly proportional to H1/2
Inversely proportional to H3/2
Directly proportional to H3/2

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

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

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