04. Pascal's Law and Pressure Inside the Fluid
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Mechanical Properties of Fluids

143131 A hydraulic lift as shown in the figure is used to lift a mass of $1000 \mathrm{~kg}$, which is placed on a piston $\left(P_{1}\right)$ of area $1 \mathrm{~m}^{2}$. If the cross-section area of the piston $\left(\mathrm{P}_{2}\right)$ at the other end is $0.01 \mathrm{~m}^{2}$, then how much mass needs to be put on it to lift the $1000 \mathrm{~kg}$ ?

1 $1 \mathrm{~kg}$
2 $10 \mathrm{~kg}$
3 $50 \mathrm{~kg}$
4 $100 \mathrm{~kg}$
TS- EAMCET.14.09.2020
Mechanical Properties of Fluids

143132 The diameter of the pupil of human eye is 2.5 mm. Assuming the wave length of light used is 5000 A. What must be the minimum distance between two point like objects to be seen clearly they are at a distance of $5 \mathrm{~m}$ from the eye?

1 $1.34 \times 10^{-3} \mathrm{~m}$
2 $1.22 \times 10^{-3} \mathrm{~m}$
3 $1.5 \times 10^{-3} \mathrm{~m}$
4 $1.6 \times 10^{-3} \mathrm{~m}$
GUJCET 2014
Mechanical Properties of Fluids

143133 Water is filled up to a height $h$ in a beaker of radius $R$ as shown in the figure. The density of water is $\rho$, the surface tension of water is $T$ and the atmospheric pressure is $\mathbf{P}_{0}$. Consider a vertical section $A B C D$ of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude.

1 $\left|2 \mathrm{P}_{0} \mathrm{Rh}+\pi \mathrm{R}^{2} \rho g h-2 \mathrm{RT}\right|$
2 $\left|2 \mathrm{P}_{0} \mathrm{Rh}+\mathrm{R} \rho g \mathrm{~h}^{2}-2 \mathrm{RT}\right|$
3 $\left|\mathrm{P}_{0} \pi \mathrm{R}^{2}+\mathrm{R} \rho g h^{2}-2 \mathrm{RT}\right|$
4 $\left|\mathrm{P}_{0} \pi \mathrm{R}^{2}+\mathrm{R} \rho g h^{2}+2 \mathrm{RT}\right|$
AIIMS-2016
Mechanical Properties of Fluids

143134 By sucking through a straw, a student can reduce the pressure in this lungs to $750 \mathrm{~mm}$ of $\mathrm{Hg}\left(\right.$ density $\left.=13.6 \mathrm{gm} / \mathrm{cm}^{3}\right)$. Using the straw, he can drink water from a glass up to a maximum depth of:

1 $10 \mathrm{~cm}$
2 $75 \mathrm{~cm}$
3 $13.6 \mathrm{~cm}$
4 $1.36 \mathrm{~cm}$
AIIMS-2006
Mechanical Properties of Fluids

143136 The apparent depth of water in cylindrical water tank of diameter $2 \mathrm{R} \mathrm{cm}$ is reducing at the rate of $x \mathrm{~cm} / \mathrm{minute}$. When water is being drained out at a constant rate. The amount of water drained in c.c. per minute is: $\left(n_{1}=\right.$ refractive index of air, $n_{2}=$ refractive index of water)

1 $\frac{\mathrm{x} \pi \mathrm{R}^{2} \mathrm{n}_{1}}{\mathrm{n}_{2}}$
2 $\frac{x \pi R^{2} n_{2}}{n_{1}}$
3 $\frac{2 \pi \mathrm{Rn}_{1}}{\mathrm{n}_{2}}$
4 $\pi R^{2} x$
AIIMS-2005
Join With Us for More Updates
Mechanical Properties of Fluids

143131 A hydraulic lift as shown in the figure is used to lift a mass of $1000 \mathrm{~kg}$, which is placed on a piston $\left(P_{1}\right)$ of area $1 \mathrm{~m}^{2}$. If the cross-section area of the piston $\left(\mathrm{P}_{2}\right)$ at the other end is $0.01 \mathrm{~m}^{2}$, then how much mass needs to be put on it to lift the $1000 \mathrm{~kg}$ ?

1 $1 \mathrm{~kg}$
2 $10 \mathrm{~kg}$
3 $50 \mathrm{~kg}$
4 $100 \mathrm{~kg}$
TS- EAMCET.14.09.2020
Mechanical Properties of Fluids

143132 The diameter of the pupil of human eye is 2.5 mm. Assuming the wave length of light used is 5000 A. What must be the minimum distance between two point like objects to be seen clearly they are at a distance of $5 \mathrm{~m}$ from the eye?

1 $1.34 \times 10^{-3} \mathrm{~m}$
2 $1.22 \times 10^{-3} \mathrm{~m}$
3 $1.5 \times 10^{-3} \mathrm{~m}$
4 $1.6 \times 10^{-3} \mathrm{~m}$
GUJCET 2014
Mechanical Properties of Fluids

143133 Water is filled up to a height $h$ in a beaker of radius $R$ as shown in the figure. The density of water is $\rho$, the surface tension of water is $T$ and the atmospheric pressure is $\mathbf{P}_{0}$. Consider a vertical section $A B C D$ of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude.

1 $\left|2 \mathrm{P}_{0} \mathrm{Rh}+\pi \mathrm{R}^{2} \rho g h-2 \mathrm{RT}\right|$
2 $\left|2 \mathrm{P}_{0} \mathrm{Rh}+\mathrm{R} \rho g \mathrm{~h}^{2}-2 \mathrm{RT}\right|$
3 $\left|\mathrm{P}_{0} \pi \mathrm{R}^{2}+\mathrm{R} \rho g h^{2}-2 \mathrm{RT}\right|$
4 $\left|\mathrm{P}_{0} \pi \mathrm{R}^{2}+\mathrm{R} \rho g h^{2}+2 \mathrm{RT}\right|$
AIIMS-2016
Mechanical Properties of Fluids

143134 By sucking through a straw, a student can reduce the pressure in this lungs to $750 \mathrm{~mm}$ of $\mathrm{Hg}\left(\right.$ density $\left.=13.6 \mathrm{gm} / \mathrm{cm}^{3}\right)$. Using the straw, he can drink water from a glass up to a maximum depth of:

1 $10 \mathrm{~cm}$
2 $75 \mathrm{~cm}$
3 $13.6 \mathrm{~cm}$
4 $1.36 \mathrm{~cm}$
AIIMS-2006
Mechanical Properties of Fluids

143136 The apparent depth of water in cylindrical water tank of diameter $2 \mathrm{R} \mathrm{cm}$ is reducing at the rate of $x \mathrm{~cm} / \mathrm{minute}$. When water is being drained out at a constant rate. The amount of water drained in c.c. per minute is: $\left(n_{1}=\right.$ refractive index of air, $n_{2}=$ refractive index of water)

1 $\frac{\mathrm{x} \pi \mathrm{R}^{2} \mathrm{n}_{1}}{\mathrm{n}_{2}}$
2 $\frac{x \pi R^{2} n_{2}}{n_{1}}$
3 $\frac{2 \pi \mathrm{Rn}_{1}}{\mathrm{n}_{2}}$
4 $\pi R^{2} x$
AIIMS-2005
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Mechanical Properties of Fluids

143131 A hydraulic lift as shown in the figure is used to lift a mass of $1000 \mathrm{~kg}$, which is placed on a piston $\left(P_{1}\right)$ of area $1 \mathrm{~m}^{2}$. If the cross-section area of the piston $\left(\mathrm{P}_{2}\right)$ at the other end is $0.01 \mathrm{~m}^{2}$, then how much mass needs to be put on it to lift the $1000 \mathrm{~kg}$ ?

1 $1 \mathrm{~kg}$
2 $10 \mathrm{~kg}$
3 $50 \mathrm{~kg}$
4 $100 \mathrm{~kg}$
TS- EAMCET.14.09.2020
Mechanical Properties of Fluids

143132 The diameter of the pupil of human eye is 2.5 mm. Assuming the wave length of light used is 5000 A. What must be the minimum distance between two point like objects to be seen clearly they are at a distance of $5 \mathrm{~m}$ from the eye?

1 $1.34 \times 10^{-3} \mathrm{~m}$
2 $1.22 \times 10^{-3} \mathrm{~m}$
3 $1.5 \times 10^{-3} \mathrm{~m}$
4 $1.6 \times 10^{-3} \mathrm{~m}$
GUJCET 2014
Mechanical Properties of Fluids

143133 Water is filled up to a height $h$ in a beaker of radius $R$ as shown in the figure. The density of water is $\rho$, the surface tension of water is $T$ and the atmospheric pressure is $\mathbf{P}_{0}$. Consider a vertical section $A B C D$ of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude.

1 $\left|2 \mathrm{P}_{0} \mathrm{Rh}+\pi \mathrm{R}^{2} \rho g h-2 \mathrm{RT}\right|$
2 $\left|2 \mathrm{P}_{0} \mathrm{Rh}+\mathrm{R} \rho g \mathrm{~h}^{2}-2 \mathrm{RT}\right|$
3 $\left|\mathrm{P}_{0} \pi \mathrm{R}^{2}+\mathrm{R} \rho g h^{2}-2 \mathrm{RT}\right|$
4 $\left|\mathrm{P}_{0} \pi \mathrm{R}^{2}+\mathrm{R} \rho g h^{2}+2 \mathrm{RT}\right|$
AIIMS-2016
Mechanical Properties of Fluids

143134 By sucking through a straw, a student can reduce the pressure in this lungs to $750 \mathrm{~mm}$ of $\mathrm{Hg}\left(\right.$ density $\left.=13.6 \mathrm{gm} / \mathrm{cm}^{3}\right)$. Using the straw, he can drink water from a glass up to a maximum depth of:

1 $10 \mathrm{~cm}$
2 $75 \mathrm{~cm}$
3 $13.6 \mathrm{~cm}$
4 $1.36 \mathrm{~cm}$
AIIMS-2006
Mechanical Properties of Fluids

143136 The apparent depth of water in cylindrical water tank of diameter $2 \mathrm{R} \mathrm{cm}$ is reducing at the rate of $x \mathrm{~cm} / \mathrm{minute}$. When water is being drained out at a constant rate. The amount of water drained in c.c. per minute is: $\left(n_{1}=\right.$ refractive index of air, $n_{2}=$ refractive index of water)

1 $\frac{\mathrm{x} \pi \mathrm{R}^{2} \mathrm{n}_{1}}{\mathrm{n}_{2}}$
2 $\frac{x \pi R^{2} n_{2}}{n_{1}}$
3 $\frac{2 \pi \mathrm{Rn}_{1}}{\mathrm{n}_{2}}$
4 $\pi R^{2} x$
AIIMS-2005
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Mechanical Properties of Fluids

143131 A hydraulic lift as shown in the figure is used to lift a mass of $1000 \mathrm{~kg}$, which is placed on a piston $\left(P_{1}\right)$ of area $1 \mathrm{~m}^{2}$. If the cross-section area of the piston $\left(\mathrm{P}_{2}\right)$ at the other end is $0.01 \mathrm{~m}^{2}$, then how much mass needs to be put on it to lift the $1000 \mathrm{~kg}$ ?

1 $1 \mathrm{~kg}$
2 $10 \mathrm{~kg}$
3 $50 \mathrm{~kg}$
4 $100 \mathrm{~kg}$
TS- EAMCET.14.09.2020
Mechanical Properties of Fluids

143132 The diameter of the pupil of human eye is 2.5 mm. Assuming the wave length of light used is 5000 A. What must be the minimum distance between two point like objects to be seen clearly they are at a distance of $5 \mathrm{~m}$ from the eye?

1 $1.34 \times 10^{-3} \mathrm{~m}$
2 $1.22 \times 10^{-3} \mathrm{~m}$
3 $1.5 \times 10^{-3} \mathrm{~m}$
4 $1.6 \times 10^{-3} \mathrm{~m}$
GUJCET 2014
Mechanical Properties of Fluids

143133 Water is filled up to a height $h$ in a beaker of radius $R$ as shown in the figure. The density of water is $\rho$, the surface tension of water is $T$ and the atmospheric pressure is $\mathbf{P}_{0}$. Consider a vertical section $A B C D$ of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude.

1 $\left|2 \mathrm{P}_{0} \mathrm{Rh}+\pi \mathrm{R}^{2} \rho g h-2 \mathrm{RT}\right|$
2 $\left|2 \mathrm{P}_{0} \mathrm{Rh}+\mathrm{R} \rho g \mathrm{~h}^{2}-2 \mathrm{RT}\right|$
3 $\left|\mathrm{P}_{0} \pi \mathrm{R}^{2}+\mathrm{R} \rho g h^{2}-2 \mathrm{RT}\right|$
4 $\left|\mathrm{P}_{0} \pi \mathrm{R}^{2}+\mathrm{R} \rho g h^{2}+2 \mathrm{RT}\right|$
AIIMS-2016
Mechanical Properties of Fluids

143134 By sucking through a straw, a student can reduce the pressure in this lungs to $750 \mathrm{~mm}$ of $\mathrm{Hg}\left(\right.$ density $\left.=13.6 \mathrm{gm} / \mathrm{cm}^{3}\right)$. Using the straw, he can drink water from a glass up to a maximum depth of:

1 $10 \mathrm{~cm}$
2 $75 \mathrm{~cm}$
3 $13.6 \mathrm{~cm}$
4 $1.36 \mathrm{~cm}$
AIIMS-2006
Mechanical Properties of Fluids

143136 The apparent depth of water in cylindrical water tank of diameter $2 \mathrm{R} \mathrm{cm}$ is reducing at the rate of $x \mathrm{~cm} / \mathrm{minute}$. When water is being drained out at a constant rate. The amount of water drained in c.c. per minute is: $\left(n_{1}=\right.$ refractive index of air, $n_{2}=$ refractive index of water)

1 $\frac{\mathrm{x} \pi \mathrm{R}^{2} \mathrm{n}_{1}}{\mathrm{n}_{2}}$
2 $\frac{x \pi R^{2} n_{2}}{n_{1}}$
3 $\frac{2 \pi \mathrm{Rn}_{1}}{\mathrm{n}_{2}}$
4 $\pi R^{2} x$
AIIMS-2005
Join With Us for More Updates
Mechanical Properties of Fluids

143131 A hydraulic lift as shown in the figure is used to lift a mass of $1000 \mathrm{~kg}$, which is placed on a piston $\left(P_{1}\right)$ of area $1 \mathrm{~m}^{2}$. If the cross-section area of the piston $\left(\mathrm{P}_{2}\right)$ at the other end is $0.01 \mathrm{~m}^{2}$, then how much mass needs to be put on it to lift the $1000 \mathrm{~kg}$ ?

1 $1 \mathrm{~kg}$
2 $10 \mathrm{~kg}$
3 $50 \mathrm{~kg}$
4 $100 \mathrm{~kg}$
TS- EAMCET.14.09.2020
Mechanical Properties of Fluids

143132 The diameter of the pupil of human eye is 2.5 mm. Assuming the wave length of light used is 5000 A. What must be the minimum distance between two point like objects to be seen clearly they are at a distance of $5 \mathrm{~m}$ from the eye?

1 $1.34 \times 10^{-3} \mathrm{~m}$
2 $1.22 \times 10^{-3} \mathrm{~m}$
3 $1.5 \times 10^{-3} \mathrm{~m}$
4 $1.6 \times 10^{-3} \mathrm{~m}$
GUJCET 2014
Mechanical Properties of Fluids

143133 Water is filled up to a height $h$ in a beaker of radius $R$ as shown in the figure. The density of water is $\rho$, the surface tension of water is $T$ and the atmospheric pressure is $\mathbf{P}_{0}$. Consider a vertical section $A B C D$ of the water column through a diameter of the beaker. The force on water on one side of this section by water on the other side of this section has magnitude.

1 $\left|2 \mathrm{P}_{0} \mathrm{Rh}+\pi \mathrm{R}^{2} \rho g h-2 \mathrm{RT}\right|$
2 $\left|2 \mathrm{P}_{0} \mathrm{Rh}+\mathrm{R} \rho g \mathrm{~h}^{2}-2 \mathrm{RT}\right|$
3 $\left|\mathrm{P}_{0} \pi \mathrm{R}^{2}+\mathrm{R} \rho g h^{2}-2 \mathrm{RT}\right|$
4 $\left|\mathrm{P}_{0} \pi \mathrm{R}^{2}+\mathrm{R} \rho g h^{2}+2 \mathrm{RT}\right|$
AIIMS-2016
Mechanical Properties of Fluids

143134 By sucking through a straw, a student can reduce the pressure in this lungs to $750 \mathrm{~mm}$ of $\mathrm{Hg}\left(\right.$ density $\left.=13.6 \mathrm{gm} / \mathrm{cm}^{3}\right)$. Using the straw, he can drink water from a glass up to a maximum depth of:

1 $10 \mathrm{~cm}$
2 $75 \mathrm{~cm}$
3 $13.6 \mathrm{~cm}$
4 $1.36 \mathrm{~cm}$
AIIMS-2006
Mechanical Properties of Fluids

143136 The apparent depth of water in cylindrical water tank of diameter $2 \mathrm{R} \mathrm{cm}$ is reducing at the rate of $x \mathrm{~cm} / \mathrm{minute}$. When water is being drained out at a constant rate. The amount of water drained in c.c. per minute is: $\left(n_{1}=\right.$ refractive index of air, $n_{2}=$ refractive index of water)

1 $\frac{\mathrm{x} \pi \mathrm{R}^{2} \mathrm{n}_{1}}{\mathrm{n}_{2}}$
2 $\frac{x \pi R^{2} n_{2}}{n_{1}}$
3 $\frac{2 \pi \mathrm{Rn}_{1}}{\mathrm{n}_{2}}$
4 $\pi R^{2} x$
AIIMS-2005