(A) Applying Bernoulli's equation for a horizontal pipe at two points:$P_1 + \frac{1}{2}\rho v_1^2 = P_2 + \frac{1}{2}\rho v_2^2$Given that $P_1 = P$,

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(A) Applying Bernoulli's equation for a horizontal pipe at two points:$P_1 + \frac{1}{2}\rho v_1^2 = P_2 + \frac{1}{2}\rho v_2^2$Given that $P_1 = P$,$v_1 = v$,and $v_2 = 2v$:$P + \frac{1}{2}\rho v^2 = P_2 + \frac{1}{2}\rho (2v)^2$$P + \frac{1}{2}\rho v^2 = P_2 + \frac{1}{2}\rho (4v^2)$$P + \frac{1}{2}\rho v^2 = P_2 + 2\rho v^2$$P_2 = P + \frac{1}{2}\rho v^2 - 2\rho v^2$$P_2 = P - \frac{3}{2}\rho v^2$

Class 11 Physics Fluid Mechanics and Surface Tension Bernoulli's Theorem and Applications of Bernoulli's Theory

Medium

Water flows steadily through a horizontal pipe of variable cross-section. If the pressure of water is $P$ at a point where flow speed is $v$,the pressure at another point where the flow speed is $2v$,is (Take density of water as $\rho$)

A
$P - \frac{3\rho v^2}{2}$
B
$P - \frac{\rho v^2}{2}$
C
$P - \frac{3\rho v^2}{4}$
D
$P - \rho v^2$

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Class 11 Questions

Class 11

Physics Questions

Chapter

Fluid Mechanics and Surface Tension

Subtopic

Bernoulli's Theorem and Applications of Bernoulli's Theory

Water is in streamline flow along a horizontal pipe with non-uniform cross-section. At a point in the pipe where the area of cross-section is $10 \,cm^{2}$, the velocity of water is $1 \,ms^{-1}$ and the pressure is $2000 \,Pa$. The pressure at another point where the cross-sectional area is $5 \,cm^{2}$ is (in $\,Pa$)

DifficultKCET 2010

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The figures below show water flowing through a horizontal pipe from left to right. Note that the pipe in the middle is narrower. Choose the most appropriate depiction of water levels in the vertical pipes.

MediumKVPY 2018

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$A$ liquid flows through a horizontal tube. The velocities of the liquid in the two sections which have areas of cross-section $A_1$ and $A_2$ are $v_1$ and $v_2$ respectively. The difference in the levels of the liquid in the two vertical tubes is $h$. The incorrect statement is

Medium

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Water is flowing with a velocity of $2 \ m/s$ in a horizontal pipe where the cross-sectional area is $2 \times 10^{-2} \ m^2$ at a pressure of $4 \times 10^4 \ Pa$. The pressure at a cross-section of area $0.01 \ m^2$ in Pascal will be:

Medium

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$A$ manometer connected to a closed tap reads $3.5 \times 10^5 \ N/m^2$. When the valve is opened,the reading of the manometer falls to $3.0 \times 10^5 \ N/m^2$. The velocity of the flow of water is ........ $m/s$.

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Water flows steadily through a horizontal pipe of variable cross-section. If the pressure of water is $P$ at a point where flow speed is $v$,the pressure at another point where the flow speed is $2v$,is (Take density of water as $\rho$)

Similar Questions

The figures below show water flowing through a horizontal pipe from left to right. Note that the pipe in the middle is narrower. Choose the most appropriate depiction of water levels in the vertical pipes.

$A$ liquid flows through a horizontal tube. The velocities of the liquid in the two sections which have areas of cross-section $A_1$ and $A_2$ are $v_1$ and $v_2$ respectively. The difference in the levels of the liquid in the two vertical tubes is $h$. The incorrect statement is

Water is flowing with a velocity of $2 \ m/s$ in a horizontal pipe where the cross-sectional area is $2 \times 10^{-2} \ m^2$ at a pressure of $4 \times 10^4 \ Pa$. The pressure at a cross-section of area $0.01 \ m^2$ in Pascal will be:

$A$ manometer connected to a closed tap reads $3.5 \times 10^5 \ N/m^2$. When the valve is opened,the reading of the manometer falls to $3.0 \times 10^5 \ N/m^2$. The velocity of the flow of water is ........ $m/s$.

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