Surface Tension
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361276 Two mercury drops (each of radius \(r\)) merge to form a bigger drop. The surface energy of the bigger drop, if \(T\) is the surface tension, is

1 \({2^{5/3}}\pi \,{r^2}\;T\)
2 \(4\,\pi \,{r^2}\;T\)
3 \(2\,{\mkern 1mu} \pi \,{r^2}\;T\)
4 \({2^{8/3}}\pi \,{r^2}\;T\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361277 Work \(W\) is required to form a bubble of volume \(V\) from a given solution. What amount of work is required to be done to form a bubble of volume \(2 V\) ?

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

361278 The surface tension of a soap solution is \('T'\). The work done in blowing a soap bubble of diameter \('d'\) to that of a diameter \('2\,d'\) is

1 \(6 \pi d^{2} T\)
2 \(4 \pi d^{2} T\)
3 \(2 \pi d^{2} T\)
4 \(8 \pi d^{2} T\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361279 Radius of a soap bubble is increased from \(R\) to 2\(R\). Work done in this process in terms of surface tension is

1 \(24\,\pi {R^2}S\)
2 \(48\,\pi {R^2}S\)
3 \(12\,\pi {R^2}S\)
4 \(36\,\pi {R^2}S\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361276 Two mercury drops (each of radius \(r\)) merge to form a bigger drop. The surface energy of the bigger drop, if \(T\) is the surface tension, is

1 \({2^{5/3}}\pi \,{r^2}\;T\)
2 \(4\,\pi \,{r^2}\;T\)
3 \(2\,{\mkern 1mu} \pi \,{r^2}\;T\)
4 \({2^{8/3}}\pi \,{r^2}\;T\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361277 Work \(W\) is required to form a bubble of volume \(V\) from a given solution. What amount of work is required to be done to form a bubble of volume \(2 V\) ?

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

361278 The surface tension of a soap solution is \('T'\). The work done in blowing a soap bubble of diameter \('d'\) to that of a diameter \('2\,d'\) is

1 \(6 \pi d^{2} T\)
2 \(4 \pi d^{2} T\)
3 \(2 \pi d^{2} T\)
4 \(8 \pi d^{2} T\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361279 Radius of a soap bubble is increased from \(R\) to 2\(R\). Work done in this process in terms of surface tension is

1 \(24\,\pi {R^2}S\)
2 \(48\,\pi {R^2}S\)
3 \(12\,\pi {R^2}S\)
4 \(36\,\pi {R^2}S\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361276 Two mercury drops (each of radius \(r\)) merge to form a bigger drop. The surface energy of the bigger drop, if \(T\) is the surface tension, is

1 \({2^{5/3}}\pi \,{r^2}\;T\)
2 \(4\,\pi \,{r^2}\;T\)
3 \(2\,{\mkern 1mu} \pi \,{r^2}\;T\)
4 \({2^{8/3}}\pi \,{r^2}\;T\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361277 Work \(W\) is required to form a bubble of volume \(V\) from a given solution. What amount of work is required to be done to form a bubble of volume \(2 V\) ?

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

361278 The surface tension of a soap solution is \('T'\). The work done in blowing a soap bubble of diameter \('d'\) to that of a diameter \('2\,d'\) is

1 \(6 \pi d^{2} T\)
2 \(4 \pi d^{2} T\)
3 \(2 \pi d^{2} T\)
4 \(8 \pi d^{2} T\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361279 Radius of a soap bubble is increased from \(R\) to 2\(R\). Work done in this process in terms of surface tension is

1 \(24\,\pi {R^2}S\)
2 \(48\,\pi {R^2}S\)
3 \(12\,\pi {R^2}S\)
4 \(36\,\pi {R^2}S\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361276 Two mercury drops (each of radius \(r\)) merge to form a bigger drop. The surface energy of the bigger drop, if \(T\) is the surface tension, is

1 \({2^{5/3}}\pi \,{r^2}\;T\)
2 \(4\,\pi \,{r^2}\;T\)
3 \(2\,{\mkern 1mu} \pi \,{r^2}\;T\)
4 \({2^{8/3}}\pi \,{r^2}\;T\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361277 Work \(W\) is required to form a bubble of volume \(V\) from a given solution. What amount of work is required to be done to form a bubble of volume \(2 V\) ?

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

361278 The surface tension of a soap solution is \('T'\). The work done in blowing a soap bubble of diameter \('d'\) to that of a diameter \('2\,d'\) is

1 \(6 \pi d^{2} T\)
2 \(4 \pi d^{2} T\)
3 \(2 \pi d^{2} T\)
4 \(8 \pi d^{2} T\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361279 Radius of a soap bubble is increased from \(R\) to 2\(R\). Work done in this process in terms of surface tension is

1 \(24\,\pi {R^2}S\)
2 \(48\,\pi {R^2}S\)
3 \(12\,\pi {R^2}S\)
4 \(36\,\pi {R^2}S\)