All the terms of energy in Bernoulliandrsquo;s equationhave dimension ofa)Massb)Energyc)Lengthd)WorkCorrect answer is option 'C'. Can you explain this answer?

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All the terms of energy in Bernoulli’s equation

have dimension of

a)
Mass
b)
Energy
c)
Length
d)
Work

Correct answer is option 'C'. Can you explain this answer?

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Verified Answer

All the terms of energy in Bernoulli’s equationhave dimension of...

From the law of dimensional homogeneity, the constant must have the same dimensions as the other additive terms in the equation.
Thus P/γ and v²/2g will have same dimension as z i.e. Length.

All the terms of Bernoulli’s equation:

P/γ = P/ρg = Pressure energy per unit weight of fluid or pressure head
v²/2g = Kinetic energy per unit weight or kinetic head
z = Potential energy per unit weight or potential head

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All the terms of energy in Bernoulli’s equationhave dimension ofa)Massb)Energyc)Lengthd)WorkCorrect answer is option 'C'. Can you explain this answer?

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