Question 42: Properties of Matter

Question

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

Accepted Answer

Bernoulli's equation relates the pressure, velocity, and height in a flowing fluid and is derived from the principle of conservation of energy. The correct form of Bernoulli's equation is:
$$P + ho g h + \frac{1}{2} ho v^2 = 	ext{constant}$$
where:
P
is the pressure within the fluid.
$ho$
is the density of the fluid.
g
is the acceleration due to gravity.
h
is the height above a reference point.
v
is the velocity of the fluid.
Looking at the options given:
Option A: $$P + \frac{1}{2} ho g h + \frac{1}{2} ho v^2 = 	ext{constant}$$
Option B: $$P + m g h + \frac{1}{2} m v^2 = 	ext{constant}$$
Option C: $$P + ho g h + ho v^2 = 	ext{constant}$$
Option D: $$P + ho g h + \frac{1}{2} ho v^2 = 	ext{constant}$$
Option D correctly represents Bernoulli's equation in its proper form. Therefore, the correct answer is:
Option D

Answer

$$P+\frac{1}{2} \rho g h+\frac{1}{2} \rho v^2=$$ constant

Answer

$$P+m g h+\frac{1}{2} m v^2=$$ constant

Answer

$$P+\rho g h+\rho v^2=$$ constant

Answer

$$P+\rho g h+\frac{1}{2} \rho v^2=$$ constant

Properties of Matter

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

Choose the correct answer: