JEE Main & Advanced Physics Kinetic Theory of Gases Question Bank Topic Test - Kinetic Theory Of Gases-2

  • question_answer
    If the ratio of vapour density for hydrogen and oxygen is \[\frac{1}{16}\], then under constant pressure the ratio of their rms velocities will be

    A) \[\frac{4}{1}\]

    B) \[\frac{1}{4}\]

    C) \[\frac{1}{16}\]

    D) \[\frac{16}{1}\]

    Correct Answer: A

    Solution :

    [a] \[{{v}_{rms}}=\sqrt{\frac{3p}{\rho }}\,\Rightarrow \,\frac{{{v}_{1}}}{{{v}_{2}}}=\sqrt{\frac{{{\rho }_{2}}}{{{\rho }_{1}}}}=\sqrt{\frac{16}{1}}=\frac{4}{1}\]


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