(A) According to the equation of continuity,$A_{1}V_{1} = A_{2}V_{2}$.Since the flow rate is constant,if the cross-sectional area $A$ decreases,the ve

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maximum velocity and minimum pressure.

(A) According to the equation of continuity,$A_{1}V_{1} = A_{2}V_{2}$.Since the flow rate is constant,if the cross-sectional area $A$ decreases,the velocity $V$ must increase.According to Bernoulli's principle for a horizontal pipe,$P + \frac{1}{2}\rho V^{2} = \text{constant}$.This implies that as the velocity $V$ increases,the pressure $P$ must decrease.Therefore,in the narrowest part of the pipe,the velocity is maximum and the pressure is minimum.

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

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Water is flowing through a horizontal pipe of non-uniform cross-section. In the region of the narrowest part inside the pipe,the water will have

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maximum velocity and minimum pressure.
B
both the pressure and velocity maximum.
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both the pressure and velocity minimum.
D
maximum pressure and minimum velocity.

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Fluid Mechanics and Surface Tension

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Bernoulli's Theorem and Applications of Bernoulli's Theory

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The pressure of water in a water pipe when the tap is closed and opened is $3.5 \times 10^5 \, N/m^2$ and $3 \times 10^5 \, N/m^2$ respectively. With the tap open,the velocity of water flowing is ........... $m/s$. (Take density of water $\rho = 10^3 \, kg/m^3$)

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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 $\rho$)

Medium

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Water is pumped steadily out of a flooded basement at a speed of $10 \ m \ s^{-1}$ through a hose (tube) of radius $1 \ cm$, passing through a window $3 \ m$ above the water level. The power of the pump is (Assume $g = 10 \ m \ s^{-2}$, density of water $= 1000 \ kg \ m^{-3}$): (in $\pi \ W$)

MediumTS EAMCET 2021

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Water flows in a horizontal tube as shown in the figure. The pressure of water changes by $600\, N/m^2$ between $A$ and $B$ where the cross-sectional areas are $30\, cm^2$ and $15\, cm^2$ respectively. Find the rate of flow of water through the tube.

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Water flows through a frictionless duct with a cross-section varying as shown in the figure. The pressure $p$ at points along the axis is represented by:

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Water is flowing through a horizontal pipe of non-uniform cross-section. In the region of the narrowest part inside the pipe,the water will have

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The pressure of water in a water pipe when the tap is closed and opened is $3.5 \times 10^5 \, N/m^2$ and $3 \times 10^5 \, N/m^2$ respectively. With the tap open,the velocity of water flowing is ........... $m/s$. (Take density of water $\rho = 10^3 \, kg/m^3$)

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