Surface Tension
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361284 Work done in increasing the size of a soap bubble from a radius of \(3\,\;cm\) to \(5\;\,cm\) is nearly (Surface tension of soap solution \( = 0.03\,N{m^{ - 1}}\) )

1 \(0.2\,\pi mJ\)
2 \(2 \pi m J\)
3 \(0.4 \pi m J\)
4 \(4 \pi m J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361285 The work done in blowing a soap bubble of radius \(R\) is \(W\). The workdone in blowing a bubble of radius \(2 R\) of the same soap solution is

1 \(\frac{W}{4}\)
2 \(\frac{W}{2}\)
3 \(4\;W\)
4 \(2\;W\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361286 A soap bubble of radius ' \(r\) ' and surface tension ' \(T\) ' is given a charge. The new radius ' \(R\) ' of the bubble is related to its initial radius \(r\) by the equation, \(\left(P_{0}\right.\) is the atmospheric pressure & \(V\) is the final potential of the bubble

1 \(P_{0}\left(R^{3}-r^{3}\right)+4 T\left(R^{2}-r^{2}\right)-\dfrac{\varepsilon_{0} V^{2} R}{2}=0\)
2 \(P_{0}\left(R^{3}-r^{3}\right)+4 T\left(R^{2}-r^{2}\right)=0\)
3 \(P_{0}\left(R^{3}-r^{3}\right)-\dfrac{\varepsilon_{0} V^{2} R}{2}=0\)
4 \({P_0}{R^3} + 4T\left( {{R^2} - {r^2}} \right) = 0\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361287 The surface energy of a liquid drop is \(E\). It is sprayed into 1000 equal droplets. Then its surface energy becomes

1 \(E\)
2 10 \(E\)
3 100 \(E\)
4 1000 \(E\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361288 The amount of energy required to form a soap bubble of radius \(2\;cm\) from a soap solution is nearly: (surface tension of soap solution \(=0.03\) \(N m^{-1}\) )

1 \(5.06 \times {10^{ - 4}}\;J\)
2 \(3.01 \times {10^{ - 4}}\;J\)
3 \(50.1 \times {10^{ - 4}}\;J\)
4 \(30.16 \times {10^{ - 4}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361284 Work done in increasing the size of a soap bubble from a radius of \(3\,\;cm\) to \(5\;\,cm\) is nearly (Surface tension of soap solution \( = 0.03\,N{m^{ - 1}}\) )

1 \(0.2\,\pi mJ\)
2 \(2 \pi m J\)
3 \(0.4 \pi m J\)
4 \(4 \pi m J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361285 The work done in blowing a soap bubble of radius \(R\) is \(W\). The workdone in blowing a bubble of radius \(2 R\) of the same soap solution is

1 \(\frac{W}{4}\)
2 \(\frac{W}{2}\)
3 \(4\;W\)
4 \(2\;W\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361286 A soap bubble of radius ' \(r\) ' and surface tension ' \(T\) ' is given a charge. The new radius ' \(R\) ' of the bubble is related to its initial radius \(r\) by the equation, \(\left(P_{0}\right.\) is the atmospheric pressure & \(V\) is the final potential of the bubble

1 \(P_{0}\left(R^{3}-r^{3}\right)+4 T\left(R^{2}-r^{2}\right)-\dfrac{\varepsilon_{0} V^{2} R}{2}=0\)
2 \(P_{0}\left(R^{3}-r^{3}\right)+4 T\left(R^{2}-r^{2}\right)=0\)
3 \(P_{0}\left(R^{3}-r^{3}\right)-\dfrac{\varepsilon_{0} V^{2} R}{2}=0\)
4 \({P_0}{R^3} + 4T\left( {{R^2} - {r^2}} \right) = 0\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361287 The surface energy of a liquid drop is \(E\). It is sprayed into 1000 equal droplets. Then its surface energy becomes

1 \(E\)
2 10 \(E\)
3 100 \(E\)
4 1000 \(E\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361288 The amount of energy required to form a soap bubble of radius \(2\;cm\) from a soap solution is nearly: (surface tension of soap solution \(=0.03\) \(N m^{-1}\) )

1 \(5.06 \times {10^{ - 4}}\;J\)
2 \(3.01 \times {10^{ - 4}}\;J\)
3 \(50.1 \times {10^{ - 4}}\;J\)
4 \(30.16 \times {10^{ - 4}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361284 Work done in increasing the size of a soap bubble from a radius of \(3\,\;cm\) to \(5\;\,cm\) is nearly (Surface tension of soap solution \( = 0.03\,N{m^{ - 1}}\) )

1 \(0.2\,\pi mJ\)
2 \(2 \pi m J\)
3 \(0.4 \pi m J\)
4 \(4 \pi m J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361285 The work done in blowing a soap bubble of radius \(R\) is \(W\). The workdone in blowing a bubble of radius \(2 R\) of the same soap solution is

1 \(\frac{W}{4}\)
2 \(\frac{W}{2}\)
3 \(4\;W\)
4 \(2\;W\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361286 A soap bubble of radius ' \(r\) ' and surface tension ' \(T\) ' is given a charge. The new radius ' \(R\) ' of the bubble is related to its initial radius \(r\) by the equation, \(\left(P_{0}\right.\) is the atmospheric pressure & \(V\) is the final potential of the bubble

1 \(P_{0}\left(R^{3}-r^{3}\right)+4 T\left(R^{2}-r^{2}\right)-\dfrac{\varepsilon_{0} V^{2} R}{2}=0\)
2 \(P_{0}\left(R^{3}-r^{3}\right)+4 T\left(R^{2}-r^{2}\right)=0\)
3 \(P_{0}\left(R^{3}-r^{3}\right)-\dfrac{\varepsilon_{0} V^{2} R}{2}=0\)
4 \({P_0}{R^3} + 4T\left( {{R^2} - {r^2}} \right) = 0\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361287 The surface energy of a liquid drop is \(E\). It is sprayed into 1000 equal droplets. Then its surface energy becomes

1 \(E\)
2 10 \(E\)
3 100 \(E\)
4 1000 \(E\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361288 The amount of energy required to form a soap bubble of radius \(2\;cm\) from a soap solution is nearly: (surface tension of soap solution \(=0.03\) \(N m^{-1}\) )

1 \(5.06 \times {10^{ - 4}}\;J\)
2 \(3.01 \times {10^{ - 4}}\;J\)
3 \(50.1 \times {10^{ - 4}}\;J\)
4 \(30.16 \times {10^{ - 4}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361284 Work done in increasing the size of a soap bubble from a radius of \(3\,\;cm\) to \(5\;\,cm\) is nearly (Surface tension of soap solution \( = 0.03\,N{m^{ - 1}}\) )

1 \(0.2\,\pi mJ\)
2 \(2 \pi m J\)
3 \(0.4 \pi m J\)
4 \(4 \pi m J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361285 The work done in blowing a soap bubble of radius \(R\) is \(W\). The workdone in blowing a bubble of radius \(2 R\) of the same soap solution is

1 \(\frac{W}{4}\)
2 \(\frac{W}{2}\)
3 \(4\;W\)
4 \(2\;W\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361286 A soap bubble of radius ' \(r\) ' and surface tension ' \(T\) ' is given a charge. The new radius ' \(R\) ' of the bubble is related to its initial radius \(r\) by the equation, \(\left(P_{0}\right.\) is the atmospheric pressure & \(V\) is the final potential of the bubble

1 \(P_{0}\left(R^{3}-r^{3}\right)+4 T\left(R^{2}-r^{2}\right)-\dfrac{\varepsilon_{0} V^{2} R}{2}=0\)
2 \(P_{0}\left(R^{3}-r^{3}\right)+4 T\left(R^{2}-r^{2}\right)=0\)
3 \(P_{0}\left(R^{3}-r^{3}\right)-\dfrac{\varepsilon_{0} V^{2} R}{2}=0\)
4 \({P_0}{R^3} + 4T\left( {{R^2} - {r^2}} \right) = 0\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361287 The surface energy of a liquid drop is \(E\). It is sprayed into 1000 equal droplets. Then its surface energy becomes

1 \(E\)
2 10 \(E\)
3 100 \(E\)
4 1000 \(E\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361288 The amount of energy required to form a soap bubble of radius \(2\;cm\) from a soap solution is nearly: (surface tension of soap solution \(=0.03\) \(N m^{-1}\) )

1 \(5.06 \times {10^{ - 4}}\;J\)
2 \(3.01 \times {10^{ - 4}}\;J\)
3 \(50.1 \times {10^{ - 4}}\;J\)
4 \(30.16 \times {10^{ - 4}}\;J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361284 Work done in increasing the size of a soap bubble from a radius of \(3\,\;cm\) to \(5\;\,cm\) is nearly (Surface tension of soap solution \( = 0.03\,N{m^{ - 1}}\) )

1 \(0.2\,\pi mJ\)
2 \(2 \pi m J\)
3 \(0.4 \pi m J\)
4 \(4 \pi m J\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361285 The work done in blowing a soap bubble of radius \(R\) is \(W\). The workdone in blowing a bubble of radius \(2 R\) of the same soap solution is

1 \(\frac{W}{4}\)
2 \(\frac{W}{2}\)
3 \(4\;W\)
4 \(2\;W\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361286 A soap bubble of radius ' \(r\) ' and surface tension ' \(T\) ' is given a charge. The new radius ' \(R\) ' of the bubble is related to its initial radius \(r\) by the equation, \(\left(P_{0}\right.\) is the atmospheric pressure & \(V\) is the final potential of the bubble

1 \(P_{0}\left(R^{3}-r^{3}\right)+4 T\left(R^{2}-r^{2}\right)-\dfrac{\varepsilon_{0} V^{2} R}{2}=0\)
2 \(P_{0}\left(R^{3}-r^{3}\right)+4 T\left(R^{2}-r^{2}\right)=0\)
3 \(P_{0}\left(R^{3}-r^{3}\right)-\dfrac{\varepsilon_{0} V^{2} R}{2}=0\)
4 \({P_0}{R^3} + 4T\left( {{R^2} - {r^2}} \right) = 0\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361287 The surface energy of a liquid drop is \(E\). It is sprayed into 1000 equal droplets. Then its surface energy becomes

1 \(E\)
2 10 \(E\)
3 100 \(E\)
4 1000 \(E\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361288 The amount of energy required to form a soap bubble of radius \(2\;cm\) from a soap solution is nearly: (surface tension of soap solution \(=0.03\) \(N m^{-1}\) )

1 \(5.06 \times {10^{ - 4}}\;J\)
2 \(3.01 \times {10^{ - 4}}\;J\)
3 \(50.1 \times {10^{ - 4}}\;J\)
4 \(30.16 \times {10^{ - 4}}\;J\)