$A$ horizontal pipe carries water in a streamline flow. At a point along the pipe, where the cross-sectional area is $A_1$, the velocity of water is $V_1$ and the pressure is $P_1$. What is the pressure of water at another point where the cross-sectional area is $A_2$?

• A
  $P_1 - \frac{\rho V_1^2}{2A_2^2} (A_2^2 - A_1^2)$
• B
  $P_1 + \frac{\rho V_1^2}{2A_2^2} (A_2^2 - A_1^2)$
• C
  $P_1 \rho V_1^2 (A_1^2 - A_2^2)$
• D
  $P_1 + \frac{\rho V_1^2}{2} (1 - \frac{A_1^2}{A_2^2})$