Surface Tension
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361280 If the surface tension of a soap solution is \(3 \times {10^{ - 2}}\;N/m\) then the work done in forming a soap film of \(20\;\,cm \times 5\;\,cm\) will be

1 \(6 \times {10^{ - 2}}\;J\)
2 \(6\;J\)
3 \(6 \times {10^{ - 4}}\;J\)
4 \(6 \times {10^{ - 3}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361281 A cylinder with a movable piston contains air under a pressure \(p_{1}\) and a soap bubble of radius ' \(r\) '. The pressure \(p_{2}\) to which the air should be compressed by slowly pushing the piston into the cylinder for the soap bubble to reduce its size by half will be : (The surface tension is \(\sigma\) and the temperature \(T\) is maintained constant)

1 \(\left[8 p_{1}+\dfrac{24 \sigma}{r}\right]\)
2 \(\left[4 p_{1}+\dfrac{24 \sigma}{r}\right]\)
3 \(\left[2 p_{1}+\dfrac{24 \sigma}{r}\right]\)
4 \(\left[2 p_{1}+\dfrac{12 \sigma}{r}\right]\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361282 A big water drop is formed by the combination of ' \(n\) ' small water drops of equal radii. The ratio of the surface energy of ' \(n\) ' drops to the surface energy of big drop is

1 \(n^{2}: 1\)
2 \(n: 1\)
3 \(\sqrt{n}: 1\)
4 \(\sqrt[3]{n}: 1\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361283 Surface tension of a soap bubble is \(2.0 \times {10^{ - 2}}N{m^{ - 1}}\). Work done to increase the radius of soap bubble from \(3.5\;cm\) to \(7\;cm\) will be
Take \(\left[\pi=\dfrac{22}{7}\right]\)

1 \(0.72 \times {10^{ - 4}}\;J\)
2 \(18.48 \times {10^{ - 4}}\;J\)
3 \(9.24 \times {10^{ - 4}}\;J\)
4 \(5.76 \times {10^{ - 4}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361280 If the surface tension of a soap solution is \(3 \times {10^{ - 2}}\;N/m\) then the work done in forming a soap film of \(20\;\,cm \times 5\;\,cm\) will be

1 \(6 \times {10^{ - 2}}\;J\)
2 \(6\;J\)
3 \(6 \times {10^{ - 4}}\;J\)
4 \(6 \times {10^{ - 3}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361281 A cylinder with a movable piston contains air under a pressure \(p_{1}\) and a soap bubble of radius ' \(r\) '. The pressure \(p_{2}\) to which the air should be compressed by slowly pushing the piston into the cylinder for the soap bubble to reduce its size by half will be : (The surface tension is \(\sigma\) and the temperature \(T\) is maintained constant)

1 \(\left[8 p_{1}+\dfrac{24 \sigma}{r}\right]\)
2 \(\left[4 p_{1}+\dfrac{24 \sigma}{r}\right]\)
3 \(\left[2 p_{1}+\dfrac{24 \sigma}{r}\right]\)
4 \(\left[2 p_{1}+\dfrac{12 \sigma}{r}\right]\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361282 A big water drop is formed by the combination of ' \(n\) ' small water drops of equal radii. The ratio of the surface energy of ' \(n\) ' drops to the surface energy of big drop is

1 \(n^{2}: 1\)
2 \(n: 1\)
3 \(\sqrt{n}: 1\)
4 \(\sqrt[3]{n}: 1\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361283 Surface tension of a soap bubble is \(2.0 \times {10^{ - 2}}N{m^{ - 1}}\). Work done to increase the radius of soap bubble from \(3.5\;cm\) to \(7\;cm\) will be
Take \(\left[\pi=\dfrac{22}{7}\right]\)

1 \(0.72 \times {10^{ - 4}}\;J\)
2 \(18.48 \times {10^{ - 4}}\;J\)
3 \(9.24 \times {10^{ - 4}}\;J\)
4 \(5.76 \times {10^{ - 4}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361280 If the surface tension of a soap solution is \(3 \times {10^{ - 2}}\;N/m\) then the work done in forming a soap film of \(20\;\,cm \times 5\;\,cm\) will be

1 \(6 \times {10^{ - 2}}\;J\)
2 \(6\;J\)
3 \(6 \times {10^{ - 4}}\;J\)
4 \(6 \times {10^{ - 3}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361281 A cylinder with a movable piston contains air under a pressure \(p_{1}\) and a soap bubble of radius ' \(r\) '. The pressure \(p_{2}\) to which the air should be compressed by slowly pushing the piston into the cylinder for the soap bubble to reduce its size by half will be : (The surface tension is \(\sigma\) and the temperature \(T\) is maintained constant)

1 \(\left[8 p_{1}+\dfrac{24 \sigma}{r}\right]\)
2 \(\left[4 p_{1}+\dfrac{24 \sigma}{r}\right]\)
3 \(\left[2 p_{1}+\dfrac{24 \sigma}{r}\right]\)
4 \(\left[2 p_{1}+\dfrac{12 \sigma}{r}\right]\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361282 A big water drop is formed by the combination of ' \(n\) ' small water drops of equal radii. The ratio of the surface energy of ' \(n\) ' drops to the surface energy of big drop is

1 \(n^{2}: 1\)
2 \(n: 1\)
3 \(\sqrt{n}: 1\)
4 \(\sqrt[3]{n}: 1\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361283 Surface tension of a soap bubble is \(2.0 \times {10^{ - 2}}N{m^{ - 1}}\). Work done to increase the radius of soap bubble from \(3.5\;cm\) to \(7\;cm\) will be
Take \(\left[\pi=\dfrac{22}{7}\right]\)

1 \(0.72 \times {10^{ - 4}}\;J\)
2 \(18.48 \times {10^{ - 4}}\;J\)
3 \(9.24 \times {10^{ - 4}}\;J\)
4 \(5.76 \times {10^{ - 4}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361280 If the surface tension of a soap solution is \(3 \times {10^{ - 2}}\;N/m\) then the work done in forming a soap film of \(20\;\,cm \times 5\;\,cm\) will be

1 \(6 \times {10^{ - 2}}\;J\)
2 \(6\;J\)
3 \(6 \times {10^{ - 4}}\;J\)
4 \(6 \times {10^{ - 3}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361281 A cylinder with a movable piston contains air under a pressure \(p_{1}\) and a soap bubble of radius ' \(r\) '. The pressure \(p_{2}\) to which the air should be compressed by slowly pushing the piston into the cylinder for the soap bubble to reduce its size by half will be : (The surface tension is \(\sigma\) and the temperature \(T\) is maintained constant)

1 \(\left[8 p_{1}+\dfrac{24 \sigma}{r}\right]\)
2 \(\left[4 p_{1}+\dfrac{24 \sigma}{r}\right]\)
3 \(\left[2 p_{1}+\dfrac{24 \sigma}{r}\right]\)
4 \(\left[2 p_{1}+\dfrac{12 \sigma}{r}\right]\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361282 A big water drop is formed by the combination of ' \(n\) ' small water drops of equal radii. The ratio of the surface energy of ' \(n\) ' drops to the surface energy of big drop is

1 \(n^{2}: 1\)
2 \(n: 1\)
3 \(\sqrt{n}: 1\)
4 \(\sqrt[3]{n}: 1\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361283 Surface tension of a soap bubble is \(2.0 \times {10^{ - 2}}N{m^{ - 1}}\). Work done to increase the radius of soap bubble from \(3.5\;cm\) to \(7\;cm\) will be
Take \(\left[\pi=\dfrac{22}{7}\right]\)

1 \(0.72 \times {10^{ - 4}}\;J\)
2 \(18.48 \times {10^{ - 4}}\;J\)
3 \(9.24 \times {10^{ - 4}}\;J\)
4 \(5.76 \times {10^{ - 4}}\;J\)