The discharge (Q) through a venturimeter is given by which of the following options?

Where,

a1 is area at the inlet of the venturimeter 

a2 is area at the throat of the venturimeter,  

Cd is the co-efficient of discharge of the venturimeter,  

h is difference of the pressure head.  

1
\(Q=C_{d}\frac{2a_{1}a_{2}}{\sqrt{a_{1}^{2}-a_{2}^{2}}}\sqrt{2g h} \)
2
\(Q=C_{d}\frac{a_{1}a_{2}}{\sqrt{a_{1}^{2}+a_{2}^{2}}}\sqrt{2g h} \)
3
\(Q=C_{d}\frac{a_{1}a_{2}}{\sqrt{a_{1}^{2}-a_{2}^{2}}}\sqrt{2g h} \)
4
\(Q=C_{d}\frac{a_{1}a_{2}}{\sqrt{2a_{1}^{2}-2a_{2}^{2}}}\sqrt{2g h}\)

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