If the actual velocity of jet at the vena contracta in an orifice meter is ‘V’, the depth of the centre of orifice below the free surface is ‘h’ and ‘g’ is the gravitational acceleration, then the coefficient of velocity ‘Cv ’ is:

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SSC JE Civil 11 Oct 2023 Shift 1 Official Paper - 1
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  1. V / (2gh)1/2
  2. 4V / (2gh)3/2
  3. 2gh / (V)1/2 
  4. 2Vgh / 300

Answer (Detailed Solution Below)

Option 1 : V / (2gh)1/2
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Detailed Solution

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Explanation:

Coefficient of velocity (Cv):

The ratio of the actual velocity of the jet, at vena-contracta, to the theoretical velocity is known as the coefficient of velocity.

Coefficient of velocity (Cv) = \(\frac{V_{act}}{V_{th}}\)

\({V_{th}} = \sqrt{2gh}\)

\(C_{v} = \frac{V}{\sqrt{2gh}}\)

Additional InformationCoefficient of discharge (Cd):

The ratio of an actual discharge through an orifice to the theoretical discharge is known as the coefficient of discharge.

Coefficient of contraction (Cc):

The ratio of the area of the jet, at vena-contracta, to the area of the orifice is known as the coefficient of contraction (Cc). 

∴ Cd = Cv × Cc

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