(D) According to the equation of continuity,$A_1v_1 = A_2v_2$. Since the cross-sectional areas of tubes $A$ and $C$ are equal $(r_A = r_C = 2 \ cm)$,t

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Height of the liquid in the tubes $A$ and $C$ is the same.

(D) According to the equation of continuity,$A_1v_1 = A_2v_2$. Since the cross-sectional areas of tubes $A$ and $C$ are equal $(r_A = r_C = 2 \ cm)$,the velocity of the liquid at $A$ and $C$ must be equal $(v_A = v_C)$.According to Bernoulli's theorem for a horizontal pipe,$P + \frac{1}{2}\rho v^2 = \text{constant}$.Since the velocities at $A$ and $C$ are equal,the pressures at $A$ and $C$ must also be equal $(P_A = P_C)$.Since the pressure is directly proportional to the height of the liquid column $(P = \rho gh)$,the height of the liquid in tubes $A$ and $C$ will be the same.

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

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In the following figure,the flow of liquid through a horizontal pipe is shown. Three tubes $A, B$ and $C$ are connected to the pipe. The radii of the tubes $A, B$ and $C$ at the junction are respectively $2 \ cm, 1 \ cm$ and $2 \ cm$. It can be said that the:

A
Height of the liquid in the tube $A$ is maximum.
B
Height of the liquid in the tubes $A$ and $B$ is the same.
C
Height of the liquid in all the three tubes is the same.
D
Height of the liquid in the tubes $A$ and $C$ is the same.

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Fluid Mechanics and Surface Tension

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Bernoulli's Theorem and Applications of Bernoulli's Theory

Water is pumped through the hose shown below, from a lower level to an upper level. Compared to the water at point $1$, the water at point $2$:

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Air is blowing across the horizontal wings of an aeroplane in such a way that its speeds below and above the wings are $90\, m/s$ and $120\, m/s$ respectively. If the density of air is $1.3\, kg/m^3$,then the pressure difference between the lower and upper sides of the wings will be ........ $N/m^2$.

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In old age,arteries carrying blood in the human body become narrow,resulting in an increase in blood pressure. This follows from:

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Water is flowing through a horizontal tube having cross-sectional areas of its two ends as $A$ and $A'$ such that the ratio $A/A'$ is $5$. If the pressure difference of water between the two ends is $3 \times 10^5 \, N \, m^{-2}$,the velocity of water with which it enters the tube will be ......... $m \, s^{-1}$ (neglect gravity effects).

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Consider the following equation of Bernoulli's theorem: $P + \frac{1}{2}\rho V^2 + \rho gh = K$ (constant). The dimensions of $K/P$ are the same as those of which of the following?

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In the following figure,the flow of liquid through a horizontal pipe is shown. Three tubes $A, B$ and $C$ are connected to the pipe. The radii of the tubes $A, B$ and $C$ at the junction are respectively $2 \ cm, 1 \ cm$ and $2 \ cm$. It can be said that the:

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Water is pumped through the hose shown below, from a lower level to an upper level. Compared to the water at point $1$, the water at point $2$:

In old age,arteries carrying blood in the human body become narrow,resulting in an increase in blood pressure. This follows from:

Consider the following equation of Bernoulli's theorem: $P + \frac{1}{2}\rho V^2 + \rho gh = K$ (constant). The dimensions of $K/P$ are the same as those of which of the following?

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