A soap bubble having radius 1-cm is expanded to a bubble of radius 2- cm- If the surface tension of soap solution is 30 dynes-cm- the work done is-

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Surface Tension

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Question

A soap bubble having radius $\frac{1}{\sqrt{π}}$ cm is expanded to a bubble of radius $\frac{2}{\sqrt{π}}$ cm. If the surface tension of soap solution is 30 dynes/cm, the work done is:

180 erg

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360 erg

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720 erg

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960 erg

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Solution

The correct option is C 720 erg
Work done in blowing a soap bubble $W = 2 T (A_{2} - A_{1})$

So $W = 2 T (4 π r_{2}^{2} - 4 π r_{1}^{2}) = 8 π T (\frac{2^{2}}{π} - \frac{1}{π}) = 720 e r g$

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A soap bubble having radius 1√πcm is expanded to a bubble of radius 2√π cm. If the surface tension of soap solution is 30 dynes/cm, the work done is:

The correct option is C 720 ergWork done in blowing a soap bubble W=2T(A2−A1)So W=2T(4πr22−4πr21)=8πT(22π−1π)=720erg

A soap bubble having radius $\frac{1}{\sqrt{π}}$ cm is expanded to a bubble of radius $\frac{2}{\sqrt{π}}$ cm. If the surface tension of soap solution is 30 dynes/cm, the work done is:

The correct option is C 720 erg
Work done in blowing a soap bubble $W = 2 T (A_{2} - A_{1})$

So $W = 2 T (4 π r_{2}^{2} - 4 π r_{1}^{2}) = 8 π T (\frac{2^{2}}{π} - \frac{1}{π}) = 720 e r g$