NEET Sample Paper NEET Sample Test Paper-9

  • question_answer There is an air bubble of radius r inside a drop of water of radius 3R. Find the ratio of gauge pressure at point B to that of at point A.

    A)  \[\frac{1}{2}\]                       

    B)  \[\frac{1}{4}\]

    C)  \[\frac{1}{3}\]                       

    D)  \[1\]

    Correct Answer: B

    Solution :

    As, pressure difference, \[{{P}_{B}}-{{P}_{O}}=\frac{2T}{3R}\]                      ?..(i) and       \[{{P}_{A}}={{P}_{B}}+\frac{2T}{R}\]                 ??(ii) From equations (i) and (ii), we get             \[{{P}_{A}}-{{P}_{O}}=\frac{2T}{3R}+\frac{2T}{R}=2T\left[ \frac{4}{3R} \right]\] \[\Rightarrow \]               \[\frac{{{P}_{B}}-{{P}_{O}}}{{{P}_{A}}-{{P}_{O}}}=\frac{1}{4}\]

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