Surface Tension
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361254 What should be the pressure inside a small air bubble of \(0.1\;mm\) radius situated just below the water surface? (surface tension of water \( = 7.2 \times {10^{ - 2}}N{m^{ - 1}}\) and atmospheric pressure \( = 1.013 \times {10^5}N{m^{ - 2}})\)

1 \(2.012 \times {10^5}N{m^{ - 2}}\)
2 \(2.012 \times {10^4}N{m^{ - 2}}\)
3 \(1.027 \times {10^5}N{m^{ - 2}}\)
4 \(1.027 \times {10^4}N{m^{ - 2}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361255 Assertion :
A large soap bubble expands while a small bubble shrinks when they are connected to each other by a capillary tube.
Reason :
The excess pressure inside a bubble (or drop) is inversely proportional to the radius.

1 Assertion is correct but Reason is incorrect.
2 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
3 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361256 An air bubble of radius \(0.1\;cm\) is in a liquid having surface tension \(0.06\;N/m\) and density \({10^3}\;kg/{m^3}\). The pressure inside the bubble is \(1100N{m^{ - 2}}\) greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid? \(\left( {g = 9.8\;m{s^{ - 2}}} \right)\)

1 \(0.1\;m\)
2 \(0.25\;m\)
3 \(0.20\;m\)
4 \(0.15\;m\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361257 If a section of a soap bubble of radius \(r\) by a plane through its centre is considered, the force on the half due to surface tension is:

1 \(2 \pi r T\)
2 \(4 \pi r T\)
3 \(\pi r T\)
4 \(2 r T\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361258 A mercury drop of radius \({10^{ - 3}}\;m\) is broken into 125 equal size droplets. Surface tension of mercury is \(0.45\,N{m^{ - 1}}\). The gain in surface energy is

1 \(17.5 \times {10^{ - 5}}\;J\)
2 \(28 \times {10^{ - 5}}\;J\)
3 \(2.26 \times {10^{ - 5}}\;J\)
4 \(5 \times {10^{ - 5}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361254 What should be the pressure inside a small air bubble of \(0.1\;mm\) radius situated just below the water surface? (surface tension of water \( = 7.2 \times {10^{ - 2}}N{m^{ - 1}}\) and atmospheric pressure \( = 1.013 \times {10^5}N{m^{ - 2}})\)

1 \(2.012 \times {10^5}N{m^{ - 2}}\)
2 \(2.012 \times {10^4}N{m^{ - 2}}\)
3 \(1.027 \times {10^5}N{m^{ - 2}}\)
4 \(1.027 \times {10^4}N{m^{ - 2}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361255 Assertion :
A large soap bubble expands while a small bubble shrinks when they are connected to each other by a capillary tube.
Reason :
The excess pressure inside a bubble (or drop) is inversely proportional to the radius.

1 Assertion is correct but Reason is incorrect.
2 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
3 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361256 An air bubble of radius \(0.1\;cm\) is in a liquid having surface tension \(0.06\;N/m\) and density \({10^3}\;kg/{m^3}\). The pressure inside the bubble is \(1100N{m^{ - 2}}\) greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid? \(\left( {g = 9.8\;m{s^{ - 2}}} \right)\)

1 \(0.1\;m\)
2 \(0.25\;m\)
3 \(0.20\;m\)
4 \(0.15\;m\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361257 If a section of a soap bubble of radius \(r\) by a plane through its centre is considered, the force on the half due to surface tension is:

1 \(2 \pi r T\)
2 \(4 \pi r T\)
3 \(\pi r T\)
4 \(2 r T\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361258 A mercury drop of radius \({10^{ - 3}}\;m\) is broken into 125 equal size droplets. Surface tension of mercury is \(0.45\,N{m^{ - 1}}\). The gain in surface energy is

1 \(17.5 \times {10^{ - 5}}\;J\)
2 \(28 \times {10^{ - 5}}\;J\)
3 \(2.26 \times {10^{ - 5}}\;J\)
4 \(5 \times {10^{ - 5}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361254 What should be the pressure inside a small air bubble of \(0.1\;mm\) radius situated just below the water surface? (surface tension of water \( = 7.2 \times {10^{ - 2}}N{m^{ - 1}}\) and atmospheric pressure \( = 1.013 \times {10^5}N{m^{ - 2}})\)

1 \(2.012 \times {10^5}N{m^{ - 2}}\)
2 \(2.012 \times {10^4}N{m^{ - 2}}\)
3 \(1.027 \times {10^5}N{m^{ - 2}}\)
4 \(1.027 \times {10^4}N{m^{ - 2}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361255 Assertion :
A large soap bubble expands while a small bubble shrinks when they are connected to each other by a capillary tube.
Reason :
The excess pressure inside a bubble (or drop) is inversely proportional to the radius.

1 Assertion is correct but Reason is incorrect.
2 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
3 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361256 An air bubble of radius \(0.1\;cm\) is in a liquid having surface tension \(0.06\;N/m\) and density \({10^3}\;kg/{m^3}\). The pressure inside the bubble is \(1100N{m^{ - 2}}\) greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid? \(\left( {g = 9.8\;m{s^{ - 2}}} \right)\)

1 \(0.1\;m\)
2 \(0.25\;m\)
3 \(0.20\;m\)
4 \(0.15\;m\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361257 If a section of a soap bubble of radius \(r\) by a plane through its centre is considered, the force on the half due to surface tension is:

1 \(2 \pi r T\)
2 \(4 \pi r T\)
3 \(\pi r T\)
4 \(2 r T\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361258 A mercury drop of radius \({10^{ - 3}}\;m\) is broken into 125 equal size droplets. Surface tension of mercury is \(0.45\,N{m^{ - 1}}\). The gain in surface energy is

1 \(17.5 \times {10^{ - 5}}\;J\)
2 \(28 \times {10^{ - 5}}\;J\)
3 \(2.26 \times {10^{ - 5}}\;J\)
4 \(5 \times {10^{ - 5}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361254 What should be the pressure inside a small air bubble of \(0.1\;mm\) radius situated just below the water surface? (surface tension of water \( = 7.2 \times {10^{ - 2}}N{m^{ - 1}}\) and atmospheric pressure \( = 1.013 \times {10^5}N{m^{ - 2}})\)

1 \(2.012 \times {10^5}N{m^{ - 2}}\)
2 \(2.012 \times {10^4}N{m^{ - 2}}\)
3 \(1.027 \times {10^5}N{m^{ - 2}}\)
4 \(1.027 \times {10^4}N{m^{ - 2}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361255 Assertion :
A large soap bubble expands while a small bubble shrinks when they are connected to each other by a capillary tube.
Reason :
The excess pressure inside a bubble (or drop) is inversely proportional to the radius.

1 Assertion is correct but Reason is incorrect.
2 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
3 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361256 An air bubble of radius \(0.1\;cm\) is in a liquid having surface tension \(0.06\;N/m\) and density \({10^3}\;kg/{m^3}\). The pressure inside the bubble is \(1100N{m^{ - 2}}\) greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid? \(\left( {g = 9.8\;m{s^{ - 2}}} \right)\)

1 \(0.1\;m\)
2 \(0.25\;m\)
3 \(0.20\;m\)
4 \(0.15\;m\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361257 If a section of a soap bubble of radius \(r\) by a plane through its centre is considered, the force on the half due to surface tension is:

1 \(2 \pi r T\)
2 \(4 \pi r T\)
3 \(\pi r T\)
4 \(2 r T\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361258 A mercury drop of radius \({10^{ - 3}}\;m\) is broken into 125 equal size droplets. Surface tension of mercury is \(0.45\,N{m^{ - 1}}\). The gain in surface energy is

1 \(17.5 \times {10^{ - 5}}\;J\)
2 \(28 \times {10^{ - 5}}\;J\)
3 \(2.26 \times {10^{ - 5}}\;J\)
4 \(5 \times {10^{ - 5}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361254 What should be the pressure inside a small air bubble of \(0.1\;mm\) radius situated just below the water surface? (surface tension of water \( = 7.2 \times {10^{ - 2}}N{m^{ - 1}}\) and atmospheric pressure \( = 1.013 \times {10^5}N{m^{ - 2}})\)

1 \(2.012 \times {10^5}N{m^{ - 2}}\)
2 \(2.012 \times {10^4}N{m^{ - 2}}\)
3 \(1.027 \times {10^5}N{m^{ - 2}}\)
4 \(1.027 \times {10^4}N{m^{ - 2}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361255 Assertion :
A large soap bubble expands while a small bubble shrinks when they are connected to each other by a capillary tube.
Reason :
The excess pressure inside a bubble (or drop) is inversely proportional to the radius.

1 Assertion is correct but Reason is incorrect.
2 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
3 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361256 An air bubble of radius \(0.1\;cm\) is in a liquid having surface tension \(0.06\;N/m\) and density \({10^3}\;kg/{m^3}\). The pressure inside the bubble is \(1100N{m^{ - 2}}\) greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid? \(\left( {g = 9.8\;m{s^{ - 2}}} \right)\)

1 \(0.1\;m\)
2 \(0.25\;m\)
3 \(0.20\;m\)
4 \(0.15\;m\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361257 If a section of a soap bubble of radius \(r\) by a plane through its centre is considered, the force on the half due to surface tension is:

1 \(2 \pi r T\)
2 \(4 \pi r T\)
3 \(\pi r T\)
4 \(2 r T\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361258 A mercury drop of radius \({10^{ - 3}}\;m\) is broken into 125 equal size droplets. Surface tension of mercury is \(0.45\,N{m^{ - 1}}\). The gain in surface energy is

1 \(17.5 \times {10^{ - 5}}\;J\)
2 \(28 \times {10^{ - 5}}\;J\)
3 \(2.26 \times {10^{ - 5}}\;J\)
4 \(5 \times {10^{ - 5}}\;J\)