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Water flows steadily through a horizontal pipe of variable cross-section. If the pressure of water is \( P \) at a point where flow speed is \( v \), the pressure at another point where the flow speed is \( 2 v \), is (Take density of water as \( \rho \) )
[J \& K CET 2006; Similar WB-JEE 2013]
(a) \( P-\frac{3 \rho v^{2}}{2} \)
(b) \( P-\frac{\rho v^{2}}{2} \)
(c) \( P-\frac{3 \rho v^{2}}{4} \)
(d) \( P-\rho v^{2} \)
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