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

Answer: (B)

$P + \rho gh + \frac{1}{2} \rho v^2 = \text{constant}$

Answer 2

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