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

143058 The air pressure inside a soap bubble of radius $R$ exceeds the outside air pressure by $10 \mathrm{~Pa}$. By how much will the pressure inside a bubble of radius $2 \mathrm{R}$ exceed the outside air pressure?

1 $20 \mathrm{~Pa}$
2 $40 \mathrm{~Pa}$
3 $2.5 \mathrm{~Pa}$
4 $5 \mathrm{~Pa}$
Mechanical Properties of Fluids

143059 64 identical water droplets combine to form a large drop. Find the ratio of the total surface energy of 64 droplets to that of the large drop

1 $64: 1$
2 $4: 1$
3 $8: 1$
4 $1: 8$
Mechanical Properties of Fluids

143060 When a large bubble rises from bottom of a water lake to its surface, then its radius doubles. If the atmospheric pressure is equal to the pressure of height ' $\mathrm{H}$ ' of a certain water column, then the depth of lake will be

1 $\mathrm{H}$
2 $4 \mathrm{H}$
3 $7 \mathrm{H}$
4 $2 \mathrm{H}$
Mechanical Properties of Fluids

143061 A drop of some liquid of volume $0.04 \mathrm{~cm}^{3}$ is placed on the surface of a glass slide. Then another glass slide is placed on it in such a way that the liquid forms a thin layer of area $20 \mathrm{~cm}^{2}$ between the surfaces of the two slides. To separate the slides a force of $16 \times 10^{5}$ dyne has to be applied normal to the surfaces. The surface tension of the liquid is (in dyne-cm ${ }^{-1}$ )

1 60
2 70
3 80
4 90
Mechanical Properties of Fluids

143058 The air pressure inside a soap bubble of radius $R$ exceeds the outside air pressure by $10 \mathrm{~Pa}$. By how much will the pressure inside a bubble of radius $2 \mathrm{R}$ exceed the outside air pressure?

1 $20 \mathrm{~Pa}$
2 $40 \mathrm{~Pa}$
3 $2.5 \mathrm{~Pa}$
4 $5 \mathrm{~Pa}$
Mechanical Properties of Fluids

143059 64 identical water droplets combine to form a large drop. Find the ratio of the total surface energy of 64 droplets to that of the large drop

1 $64: 1$
2 $4: 1$
3 $8: 1$
4 $1: 8$
Mechanical Properties of Fluids

143060 When a large bubble rises from bottom of a water lake to its surface, then its radius doubles. If the atmospheric pressure is equal to the pressure of height ' $\mathrm{H}$ ' of a certain water column, then the depth of lake will be

1 $\mathrm{H}$
2 $4 \mathrm{H}$
3 $7 \mathrm{H}$
4 $2 \mathrm{H}$
Mechanical Properties of Fluids

143061 A drop of some liquid of volume $0.04 \mathrm{~cm}^{3}$ is placed on the surface of a glass slide. Then another glass slide is placed on it in such a way that the liquid forms a thin layer of area $20 \mathrm{~cm}^{2}$ between the surfaces of the two slides. To separate the slides a force of $16 \times 10^{5}$ dyne has to be applied normal to the surfaces. The surface tension of the liquid is (in dyne-cm ${ }^{-1}$ )

1 60
2 70
3 80
4 90
Mechanical Properties of Fluids

143058 The air pressure inside a soap bubble of radius $R$ exceeds the outside air pressure by $10 \mathrm{~Pa}$. By how much will the pressure inside a bubble of radius $2 \mathrm{R}$ exceed the outside air pressure?

1 $20 \mathrm{~Pa}$
2 $40 \mathrm{~Pa}$
3 $2.5 \mathrm{~Pa}$
4 $5 \mathrm{~Pa}$
Mechanical Properties of Fluids

143059 64 identical water droplets combine to form a large drop. Find the ratio of the total surface energy of 64 droplets to that of the large drop

1 $64: 1$
2 $4: 1$
3 $8: 1$
4 $1: 8$
Mechanical Properties of Fluids

143060 When a large bubble rises from bottom of a water lake to its surface, then its radius doubles. If the atmospheric pressure is equal to the pressure of height ' $\mathrm{H}$ ' of a certain water column, then the depth of lake will be

1 $\mathrm{H}$
2 $4 \mathrm{H}$
3 $7 \mathrm{H}$
4 $2 \mathrm{H}$
Mechanical Properties of Fluids

143061 A drop of some liquid of volume $0.04 \mathrm{~cm}^{3}$ is placed on the surface of a glass slide. Then another glass slide is placed on it in such a way that the liquid forms a thin layer of area $20 \mathrm{~cm}^{2}$ between the surfaces of the two slides. To separate the slides a force of $16 \times 10^{5}$ dyne has to be applied normal to the surfaces. The surface tension of the liquid is (in dyne-cm ${ }^{-1}$ )

1 60
2 70
3 80
4 90
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Mechanical Properties of Fluids

143058 The air pressure inside a soap bubble of radius $R$ exceeds the outside air pressure by $10 \mathrm{~Pa}$. By how much will the pressure inside a bubble of radius $2 \mathrm{R}$ exceed the outside air pressure?

1 $20 \mathrm{~Pa}$
2 $40 \mathrm{~Pa}$
3 $2.5 \mathrm{~Pa}$
4 $5 \mathrm{~Pa}$
Mechanical Properties of Fluids

143059 64 identical water droplets combine to form a large drop. Find the ratio of the total surface energy of 64 droplets to that of the large drop

1 $64: 1$
2 $4: 1$
3 $8: 1$
4 $1: 8$
Mechanical Properties of Fluids

143060 When a large bubble rises from bottom of a water lake to its surface, then its radius doubles. If the atmospheric pressure is equal to the pressure of height ' $\mathrm{H}$ ' of a certain water column, then the depth of lake will be

1 $\mathrm{H}$
2 $4 \mathrm{H}$
3 $7 \mathrm{H}$
4 $2 \mathrm{H}$
Mechanical Properties of Fluids

143061 A drop of some liquid of volume $0.04 \mathrm{~cm}^{3}$ is placed on the surface of a glass slide. Then another glass slide is placed on it in such a way that the liquid forms a thin layer of area $20 \mathrm{~cm}^{2}$ between the surfaces of the two slides. To separate the slides a force of $16 \times 10^{5}$ dyne has to be applied normal to the surfaces. The surface tension of the liquid is (in dyne-cm ${ }^{-1}$ )

1 60
2 70
3 80
4 90