RAJASTHAN ­ PET Rajasthan PET Solved Paper-2008

  • question_answer
    The ratio of radius of two bubbles is 2 : 1. What is the ratio excess pressure inside them

    A)  1 : 2              

    B)  1 : 4

    C)  2 : 1              

    D)  4 : 1

    Correct Answer: A

    Solution :

     The 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) \[\frac{{{p}_{1}}}{{{p}_{2}}}=\frac{\frac{4T}{{{r}_{1}}}}{\frac{4T}{{{r}_{2}}}}=\frac{{{r}_{2}}}{{{r}_{1}}}\] \[\frac{{{p}_{1}}}{{{p}_{2}}}=\frac{1}{2}\]


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