AIIMS AIIMS Solved Paper-2014

  • question_answer
    The root mean square velocity of hydrogen molecule at 27°C is \[{{\upsilon }_{H}}\] and that of oxygen at 402°C is \[{{\upsilon }_{0}}\], then

    A) \[{{v}_{0}}>{{v}_{H}}\]                  

    B) \[4{{v}_{0}}=9{{v}_{H}}\]

    C) \[2{{v}_{0}}=3{{v}_{H}}\]                             

    D) \[9{{v}_{0}}=134{{v}_{H}}\]

    Correct Answer: C

    Solution :

                     \[\frac{{{v}_{H}}}{{{v}_{0}}}=\sqrt{\frac{{{T}_{H}}}{{{T}_{0}}}}\] \[=\sqrt{\frac{300}{675}}\] \[=\sqrt{\frac{4}{9}}\] \[\frac{v+1}{{{v}_{0}}}=\frac{2}{3}\] \[3{{v}_{H}}=2{{v}_{0}}\]


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