InterviewSolution
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InterviewSolution
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The excess pressure inside one soap bubble is three times that inside a second bubble. The ratio of the volume of first bubble to that of the secondA. `1 : 27`B. `27 : 1`C. `1 : 9`D. `9 : 1` |
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Answer» Correct Answer - A We know that for soap bubble, `p=(4T)/(r )` `"Given" p_(1)=3p_(1)` `"Here" (4T)/(r_(1))=3((4T)/(r_(2))) Rightarrow r_(2)=3r_(1)....(i)` `V_(1)=(4)/(3)=3pir_(1)^(3) and V_(2)=(4)/(3)pir_(2)^(3)=(4)/(3)pi(3r_(2)^(2))=(4)/(3)pi(27r_(1)^(3))` `Rightarrow (V_(1))/(V_(2))=((4//3)pir_(1)^(3))/((4//3)pi27r^(3))=(1)/(27)` |
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