10. Continuity Equation and Bernoulli's Principle and It’s Application
Mechanical Properties of Fluids

143431 Water is in streamline flows along a horizontal pipe with non-uniform cross-section. At a point in the pipe where the area of cross-section is $\mathbf{1 0}$ $\mathrm{cm}^{2}$, the velocity of water is $1 \mathrm{~ms}^{-1}$ and the pressure is $2000\mathrm{~Pa}$. The pressure at another point where the cross-sectional area is $5 \mathbf{c m}^{2}$ is :

1 $4000 \mathrm{~Pa}$
2 $2000\mathrm{~Pa}$
3 $1000 \mathrm{~Pa}$
4 $500 \mathrm{~Pa}$
Mechanical Properties of Fluids

143432 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 $2 \mathrm{v}$, is (Take density of water as $\rho$ )

1 $\mathrm{P}-\frac{3 \rho \mathrm{v}^{2}}{2}$
2 $\mathrm{P}-\frac{\rho \mathrm{v}^{2}}{2}$
3 $\mathrm{P}-\frac{3 \rho \mathrm{v}^{2}}{4}$
4 $\mathrm{P}-\rho \mathrm{v}^{2}$
Mechanical Properties of Fluids

143433 A container with square base of side a is filled up to a height $H$ with a liquid. A hole is made at a depth $h$ from the free surface of water. With what acceleration the container must be accelerated so that the water does not come out?

1 $\mathrm{g}$
2 $g / 2$
3 $2 \mathrm{gH} / 2$
4 $2 \mathrm{gh} / \mathrm{a}$
Mechanical Properties of Fluids

143434 At what speed, the velocity head of water is equal to pressure head of $40 \mathrm{~cm}$ of $\mathrm{Hg}$ ?

1 $10.3 \mathrm{~m} / \mathrm{s}$
2 $2.8 \mathrm{~m} / \mathrm{s}$
3 $5.6 \mathrm{~m} / \mathrm{s}$
4 $8.4 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143431 Water is in streamline flows along a horizontal pipe with non-uniform cross-section. At a point in the pipe where the area of cross-section is $\mathbf{1 0}$ $\mathrm{cm}^{2}$, the velocity of water is $1 \mathrm{~ms}^{-1}$ and the pressure is $2000\mathrm{~Pa}$. The pressure at another point where the cross-sectional area is $5 \mathbf{c m}^{2}$ is :

1 $4000 \mathrm{~Pa}$
2 $2000\mathrm{~Pa}$
3 $1000 \mathrm{~Pa}$
4 $500 \mathrm{~Pa}$
Mechanical Properties of Fluids

143432 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 $2 \mathrm{v}$, is (Take density of water as $\rho$ )

1 $\mathrm{P}-\frac{3 \rho \mathrm{v}^{2}}{2}$
2 $\mathrm{P}-\frac{\rho \mathrm{v}^{2}}{2}$
3 $\mathrm{P}-\frac{3 \rho \mathrm{v}^{2}}{4}$
4 $\mathrm{P}-\rho \mathrm{v}^{2}$
Mechanical Properties of Fluids

143433 A container with square base of side a is filled up to a height $H$ with a liquid. A hole is made at a depth $h$ from the free surface of water. With what acceleration the container must be accelerated so that the water does not come out?

1 $\mathrm{g}$
2 $g / 2$
3 $2 \mathrm{gH} / 2$
4 $2 \mathrm{gh} / \mathrm{a}$
Mechanical Properties of Fluids

143434 At what speed, the velocity head of water is equal to pressure head of $40 \mathrm{~cm}$ of $\mathrm{Hg}$ ?

1 $10.3 \mathrm{~m} / \mathrm{s}$
2 $2.8 \mathrm{~m} / \mathrm{s}$
3 $5.6 \mathrm{~m} / \mathrm{s}$
4 $8.4 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143431 Water is in streamline flows along a horizontal pipe with non-uniform cross-section. At a point in the pipe where the area of cross-section is $\mathbf{1 0}$ $\mathrm{cm}^{2}$, the velocity of water is $1 \mathrm{~ms}^{-1}$ and the pressure is $2000\mathrm{~Pa}$. The pressure at another point where the cross-sectional area is $5 \mathbf{c m}^{2}$ is :

1 $4000 \mathrm{~Pa}$
2 $2000\mathrm{~Pa}$
3 $1000 \mathrm{~Pa}$
4 $500 \mathrm{~Pa}$
Mechanical Properties of Fluids

143432 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 $2 \mathrm{v}$, is (Take density of water as $\rho$ )

1 $\mathrm{P}-\frac{3 \rho \mathrm{v}^{2}}{2}$
2 $\mathrm{P}-\frac{\rho \mathrm{v}^{2}}{2}$
3 $\mathrm{P}-\frac{3 \rho \mathrm{v}^{2}}{4}$
4 $\mathrm{P}-\rho \mathrm{v}^{2}$
Mechanical Properties of Fluids

143433 A container with square base of side a is filled up to a height $H$ with a liquid. A hole is made at a depth $h$ from the free surface of water. With what acceleration the container must be accelerated so that the water does not come out?

1 $\mathrm{g}$
2 $g / 2$
3 $2 \mathrm{gH} / 2$
4 $2 \mathrm{gh} / \mathrm{a}$
Mechanical Properties of Fluids

143434 At what speed, the velocity head of water is equal to pressure head of $40 \mathrm{~cm}$ of $\mathrm{Hg}$ ?

1 $10.3 \mathrm{~m} / \mathrm{s}$
2 $2.8 \mathrm{~m} / \mathrm{s}$
3 $5.6 \mathrm{~m} / \mathrm{s}$
4 $8.4 \mathrm{~m} / \mathrm{s}$
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Mechanical Properties of Fluids

143431 Water is in streamline flows along a horizontal pipe with non-uniform cross-section. At a point in the pipe where the area of cross-section is $\mathbf{1 0}$ $\mathrm{cm}^{2}$, the velocity of water is $1 \mathrm{~ms}^{-1}$ and the pressure is $2000\mathrm{~Pa}$. The pressure at another point where the cross-sectional area is $5 \mathbf{c m}^{2}$ is :

1 $4000 \mathrm{~Pa}$
2 $2000\mathrm{~Pa}$
3 $1000 \mathrm{~Pa}$
4 $500 \mathrm{~Pa}$
Mechanical Properties of Fluids

143432 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 $2 \mathrm{v}$, is (Take density of water as $\rho$ )

1 $\mathrm{P}-\frac{3 \rho \mathrm{v}^{2}}{2}$
2 $\mathrm{P}-\frac{\rho \mathrm{v}^{2}}{2}$
3 $\mathrm{P}-\frac{3 \rho \mathrm{v}^{2}}{4}$
4 $\mathrm{P}-\rho \mathrm{v}^{2}$
Mechanical Properties of Fluids

143433 A container with square base of side a is filled up to a height $H$ with a liquid. A hole is made at a depth $h$ from the free surface of water. With what acceleration the container must be accelerated so that the water does not come out?

1 $\mathrm{g}$
2 $g / 2$
3 $2 \mathrm{gH} / 2$
4 $2 \mathrm{gh} / \mathrm{a}$
Mechanical Properties of Fluids

143434 At what speed, the velocity head of water is equal to pressure head of $40 \mathrm{~cm}$ of $\mathrm{Hg}$ ?

1 $10.3 \mathrm{~m} / \mathrm{s}$
2 $2.8 \mathrm{~m} / \mathrm{s}$
3 $5.6 \mathrm{~m} / \mathrm{s}$
4 $8.4 \mathrm{~m} / \mathrm{s}$