Water is flowing steadily at a velocity of 20 m/s through a pipe of diameter 0.2 m. The pressure and elevation at point X are 400 kN/m2 and 32 m, respectively, while those at another point Y are 300 kN/m2 and 34 m, respectively. What will be the head loss between the points X and Y?

Take g = 10 m/s2

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SSC JE Mechanical 9 Oct 2023 Shift 2 Official Paper-I
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  1. 6 m
  2. 8 m
  3. 4 m
  4. 10 m

Answer (Detailed Solution Below)

Option 2 : 8 m
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Detailed Solution

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Concept:

Bernoulli’s equation is given by:   

where  Pressure head,  Kinetic head, Z = Datum head

Calculation:

Given:

Case-1: d = 0.2 m, V = 20 m/s, P = 400 kN/m2, Z = 32 m

∴ HX =  = 

Case-2: d = 0.2 m, V = 20 m/s, P = 300 kN/m2, Z = 34 m

HY = 

∴ Head loss between the points X and Y = 92 - 84 = 8 m

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