Punjab Medical Punjab - MET Solved Paper-2005

  • question_answer
    The ratio of root mean square velocities of \[{{O}_{3}}\] and \[{{O}_{2}}\] is

    A) \[1:1\]                                  

    B) \[2:3\]

    C) \[3:2\]                                  

    D) \[\sqrt{2}:\sqrt{3}\]

    Correct Answer: D

    Solution :

    \[{{v}_{rms}}=\sqrt{\frac{3RT}{M}}\]                 \[\frac{({{v}_{rms}}){{O}_{3}}}{({{v}_{rms}}){{O}_{2}}}=\sqrt{\frac{M{{o}_{2}}}{M{{o}_{3}}}}\]                 \[=\sqrt{\left( \frac{32}{48} \right)}\]                 \[=\sqrt{2}:\sqrt{3}\]


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