If t is the surface tension of soap solution
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If T is surface tension of soap solution , the amount of work done in blowing a soap bubble from a diameter D to a diameter 2D is
Asked by admin @ in Physics viewed by 387 People
If T is surface tension of soap solution , the amount of work done in blowing a soap bubble from a diameter D to a diameter 2D is
Answered by admin @
Answer:
In this case, work done = increase in surface energy, i.e.
$$W=T\Delta A\\ \Rightarrow W=T\times \left[ 2\left( 4\pi { D }^{ 2 } \right) -2\left( 4\pi { \left( \frac { D }{ 2 } \right) }^{ 2 } \right) \right] \\ \Rightarrow \boxed{ W=6\pi { D }^{ 2 }T}$$
Note: In calculation, area of sphere have been multiplied with 2, since there are two surfaces in soap bubble.
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