03. Excess of Pressure (Bubbles and Drops)
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Mechanical Properties of Fluids

143033 What is the rate at which a trapped bubble of 2 $\mathrm{mm}$ diameter rises slightly through a solution of density $13.6 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ and coefficient of viscosity 1.5 centipoise? Assume, the density of air is negligible and $g=10 \mathrm{~m} / \mathrm{s}^{2}$.

1 $20 \mathrm{~m} / \mathrm{s}$
2 $2 \mathrm{~m} / \mathrm{s}$
3 $0.2 \mathrm{~m} / \mathrm{s}$
4 $0.02 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143034 A liquid is flowing in a horizontal uniform capillary tube under a constant pressure difference $p$. The value of pressure for which the rate of flow of the liquid is doubled when the radius and length both are doubled, is

1 $\mathrm{p}$
2 $\frac{3 \mathrm{p}}{4}$
3 $\frac{\mathrm{p}}{2}$
4 $\frac{\mathrm{p}}{4}$
Mechanical Properties of Fluids

143035 An air bubble is released from the bottom of a pond and is found to expand to thrice its original volume as it reached the surface. If the atmospheric pressure is $100 \mathrm{kPa}$, the absolute pressure at the bottom of lake in $\mathrm{kPa}$ is ... (assume no temperature variation) :

1 33.3
2 50.0
3 100.0
4 300.0
Mechanical Properties of Fluids

143037 If two glass plates have water between them and are separated by very small distance (see figure), it is very difficult to pull them apart. It is because the water in between forms cylindrical surface on the side that gives rise to lower pressure in the water in comparison to atmosphere. If the radius of the cylindrical surface is $R$ and surface tension of water is $T$ then the pressure in water between the plates is lower by

1 $\frac{2 T}{R}$
2 $\frac{4 \mathrm{~T}}{\mathrm{R}}$
3 $\frac{\mathrm{T}}{4 \mathrm{R}}$
4 $\frac{\mathrm{T}}{\mathrm{R}}$
Mechanical Properties of Fluids

143033 What is the rate at which a trapped bubble of 2 $\mathrm{mm}$ diameter rises slightly through a solution of density $13.6 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ and coefficient of viscosity 1.5 centipoise? Assume, the density of air is negligible and $g=10 \mathrm{~m} / \mathrm{s}^{2}$.

1 $20 \mathrm{~m} / \mathrm{s}$
2 $2 \mathrm{~m} / \mathrm{s}$
3 $0.2 \mathrm{~m} / \mathrm{s}$
4 $0.02 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143034 A liquid is flowing in a horizontal uniform capillary tube under a constant pressure difference $p$. The value of pressure for which the rate of flow of the liquid is doubled when the radius and length both are doubled, is

1 $\mathrm{p}$
2 $\frac{3 \mathrm{p}}{4}$
3 $\frac{\mathrm{p}}{2}$
4 $\frac{\mathrm{p}}{4}$
Mechanical Properties of Fluids

143035 An air bubble is released from the bottom of a pond and is found to expand to thrice its original volume as it reached the surface. If the atmospheric pressure is $100 \mathrm{kPa}$, the absolute pressure at the bottom of lake in $\mathrm{kPa}$ is ... (assume no temperature variation) :

1 33.3
2 50.0
3 100.0
4 300.0
Mechanical Properties of Fluids

143037 If two glass plates have water between them and are separated by very small distance (see figure), it is very difficult to pull them apart. It is because the water in between forms cylindrical surface on the side that gives rise to lower pressure in the water in comparison to atmosphere. If the radius of the cylindrical surface is $R$ and surface tension of water is $T$ then the pressure in water between the plates is lower by

1 $\frac{2 T}{R}$
2 $\frac{4 \mathrm{~T}}{\mathrm{R}}$
3 $\frac{\mathrm{T}}{4 \mathrm{R}}$
4 $\frac{\mathrm{T}}{\mathrm{R}}$
Mechanical Properties of Fluids

143033 What is the rate at which a trapped bubble of 2 $\mathrm{mm}$ diameter rises slightly through a solution of density $13.6 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ and coefficient of viscosity 1.5 centipoise? Assume, the density of air is negligible and $g=10 \mathrm{~m} / \mathrm{s}^{2}$.

1 $20 \mathrm{~m} / \mathrm{s}$
2 $2 \mathrm{~m} / \mathrm{s}$
3 $0.2 \mathrm{~m} / \mathrm{s}$
4 $0.02 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143034 A liquid is flowing in a horizontal uniform capillary tube under a constant pressure difference $p$. The value of pressure for which the rate of flow of the liquid is doubled when the radius and length both are doubled, is

1 $\mathrm{p}$
2 $\frac{3 \mathrm{p}}{4}$
3 $\frac{\mathrm{p}}{2}$
4 $\frac{\mathrm{p}}{4}$
Mechanical Properties of Fluids

143035 An air bubble is released from the bottom of a pond and is found to expand to thrice its original volume as it reached the surface. If the atmospheric pressure is $100 \mathrm{kPa}$, the absolute pressure at the bottom of lake in $\mathrm{kPa}$ is ... (assume no temperature variation) :

1 33.3
2 50.0
3 100.0
4 300.0
Mechanical Properties of Fluids

143037 If two glass plates have water between them and are separated by very small distance (see figure), it is very difficult to pull them apart. It is because the water in between forms cylindrical surface on the side that gives rise to lower pressure in the water in comparison to atmosphere. If the radius of the cylindrical surface is $R$ and surface tension of water is $T$ then the pressure in water between the plates is lower by

1 $\frac{2 T}{R}$
2 $\frac{4 \mathrm{~T}}{\mathrm{R}}$
3 $\frac{\mathrm{T}}{4 \mathrm{R}}$
4 $\frac{\mathrm{T}}{\mathrm{R}}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Mechanical Properties of Fluids

143033 What is the rate at which a trapped bubble of 2 $\mathrm{mm}$ diameter rises slightly through a solution of density $13.6 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ and coefficient of viscosity 1.5 centipoise? Assume, the density of air is negligible and $g=10 \mathrm{~m} / \mathrm{s}^{2}$.

1 $20 \mathrm{~m} / \mathrm{s}$
2 $2 \mathrm{~m} / \mathrm{s}$
3 $0.2 \mathrm{~m} / \mathrm{s}$
4 $0.02 \mathrm{~m} / \mathrm{s}$
Mechanical Properties of Fluids

143034 A liquid is flowing in a horizontal uniform capillary tube under a constant pressure difference $p$. The value of pressure for which the rate of flow of the liquid is doubled when the radius and length both are doubled, is

1 $\mathrm{p}$
2 $\frac{3 \mathrm{p}}{4}$
3 $\frac{\mathrm{p}}{2}$
4 $\frac{\mathrm{p}}{4}$
Mechanical Properties of Fluids

143035 An air bubble is released from the bottom of a pond and is found to expand to thrice its original volume as it reached the surface. If the atmospheric pressure is $100 \mathrm{kPa}$, the absolute pressure at the bottom of lake in $\mathrm{kPa}$ is ... (assume no temperature variation) :

1 33.3
2 50.0
3 100.0
4 300.0
Mechanical Properties of Fluids

143037 If two glass plates have water between them and are separated by very small distance (see figure), it is very difficult to pull them apart. It is because the water in between forms cylindrical surface on the side that gives rise to lower pressure in the water in comparison to atmosphere. If the radius of the cylindrical surface is $R$ and surface tension of water is $T$ then the pressure in water between the plates is lower by

1 $\frac{2 T}{R}$
2 $\frac{4 \mathrm{~T}}{\mathrm{R}}$
3 $\frac{\mathrm{T}}{4 \mathrm{R}}$
4 $\frac{\mathrm{T}}{\mathrm{R}}$