Assertion : The velocity of flow of a liquid | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) According to Bernoulli's theorem,for the streamline flow of an ideal liquid,the sum of pressure energy,kinetic energy,and potential energy per uni

Vedclass · Accepted Answer

If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

Vedclass · Answer

(D) According to Bernoulli's theorem,for the streamline flow of an ideal liquid,the sum of pressure energy,kinetic energy,and potential energy per unit volume remains constant along a streamline.The equation is $P + \frac{1}{2}ho v^2 + ho gh = 	ext{constant}$.If we consider horizontal flow $(h = 	ext{constant})$,then $P + \frac{1}{2}ho v^2 = 	ext{constant}$.This implies that if the pressure $P$ increases,the velocity $v$ must decrease to keep the sum constant,and vice-versa. Thus,the Assertion is correct.The Reason states that the total energy per unit mass remains constant. Bernoulli's theorem states that the total energy per unit volume (or mass) is constant for an ideal fluid. Therefore,the Reason is also correct and provides the physical basis for the Assertion.

$Assertion :$ The velocity of flow of a liquid is smaller when pressure is larger and vice-versa.
$Reason :$ According to Bernoulli's theorem,for the stream line flow of an ideal liquid,the total energy per unit mass remains constant.

Similar Questions

$A$ liquid is flowing in a horizontal pipe of non-uniform cross-section. Which of the following quantities may remain unchanged with respect to time?

An aeroplane of mass $4.5 \times 10^4 \,kg$ and total wing area of $600 \,m^2$ is travelling at a constant height. The pressure difference between the upper and lower surfaces of its wings is (Acceleration due to gravity $= 10 \,m \,s^{-2}$)

Air streams horizontally past an airplane. The speed over the top surface is $60 \, m/s$ and that under the bottom surface is $45 \, m/s$. The density of air is $1.293 \, kg/m^3$. The difference in pressure is ....... $N/m^2$.

If the velocity of flow is $4 \, m/s$,then the velocity head is ......... $m$.

$A$ wind with speed $50 \,m/s$ blows parallel to the roof of a house. The area of the roof is $300 \,m^2$. Assume that the pressure inside the house is atmospheric pressure. The density of air is $1.2 \,kg/m^3$. The magnitude of the force exerted by the wind on the roof will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module

$Assertion :$ The velocity of flow of a liquid is smaller when pressure is larger and vice-versa.$Reason :$ According to Bernoulli's theorem,for the stream line flow of an ideal liquid,the total energy per unit mass remains constant.