Question

Correct Bernoulli's equation is (symbols have their usual meaning):

• A. \(P + mgh + \frac{1}{2} mv^2 = \text{constant}\)
• B. \(P + \rho gh + \frac{1}{2} \rho v^2 = \text{constant}\)
• C. \(P + \rho gh + \rho v^2 = \text{constant}\)
• D. \(P + \frac{1}{2} \rho gh + \frac{1}{2} \rho v^2 = \text{constant}\)

Answer 1

The Correct Option is B

Bernoulli’s equation for fluid flow is:

\[ P + \rho gh + \frac{1}{2} \rho v^2 = \text{constant}. \]

Here:
P is the pressure,
\(\rho\) is the density of the fluid,
g is the acceleration due to gravity,
h is the height,
v is the velocity.

Final Answer: \[ P + \rho gh + \frac{1}{2} \rho v^2 = \text{constant}. \]