VMMC VMMC Medical Solved Paper-2008

  • question_answer
    Two soap bubbles have radii in the ratio of 2:1. What is the ratio of excess pressures inside them?

    A)  1 : 2      

    B)                         1 : 4                      

    C)  2 : 1                      

    D)         4 : 1

    Correct Answer: A

    Solution :

    Excess pressure inside the bubble, \[P=\frac{4T}{r}\] Then,    \[{{P}_{1}}=\frac{4T}{{{r}_{1}}}\]                               ?(i)                 \[{{P}_{2}}=\frac{4T}{{{r}_{2}}}\]                               ?(ii) From Eqs. (i) and (ii), we have \[\frac{{{P}_{1}}}{{{P}_{2}}}=\frac{4T/{{r}_{1}}}{4T/{{r}_{2}}}=\frac{{{r}_{2}}}{{{r}_{1}}}\] \[\frac{{{P}_{1}}}{{{P}_{2}}}=\frac{1}{2}\]


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