Question 58: 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: