Physics
Fluid-Mechanics
Easy

Question

Bernoulli's equation can be written in the following different forms (Column I). Column II lists certain units each of which pertains to one of the possible forms of the equation Match the unit associated with each of the equations.

Column I

Column II

(i) fraction numerator v squared over denominator 2 g end fraction plus fraction numerator p over denominator rho g end fraction plus z equals constant
(a) Total energy per unit mass
(ii) fraction numerator rho v squared over denominator 2 end fraction plus P plus rho g z equals constant
(b) Total energy per unit weight
(iii) v squared over 2 plus P over rho plus g z equals constant
(c) Total energy per unit volume

  1. i. → b; ii. → c; iii. → a
  2. i. → a; ii. → b; iii. → c
  3. i. → c; ii. → b; iii. → a
  4. i. → a; ii. → c; iii. → b

The correct answer is: i. → b; ii. → c; iii. → a


    fraction numerator v squared over denominator 2 g end fraction equals fraction numerator open parentheses 1 half m v squared close parentheses over denominator m g end fraction is energy per unit volume and
    fraction numerator rho v squared over denominator 2 end fraction equals fraction numerator open parentheses 1 half m v squared close parentheses over denominator m rho end fraction  is energy per unit volume and
    v squared over 2 equals fraction numerator 1 half m v squared over denominator m end fraction is energy per unit mass.

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