CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    The pressure inside two soap bubbles is 1.01 and 1.02 atmosphere respectively. The ratio of their respective volumes is:

    A)  2                            

    B)         4

    C)  6                            

    D)         8

    E)  16

    Correct Answer: A

    Solution :

    Excess pressure is given by\[P=\frac{4T}{r}\] \[\Rightarrow \]               \[r=\frac{4T}{P}\] \[\therefore \]  \[\frac{{{r}_{1}}}{{{r}_{2}}}=\frac{{{P}_{2}}}{{{P}_{1}}}=\frac{1.02}{1.01}=\frac{102}{101}\] Ratio of volumes \[=\frac{\frac{4}{3}\pi r_{1}^{3}}{\frac{4}{3}\pi r_{2}^{3}}=\frac{{{(102)}^{3}}}{{{(101)}^{3}}}\approx 2\]


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