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

  • question_answer
    If \[{{V}_{H}},\,\,{{V}_{N}}\] and \[{{V}_{O}}\] denote the root-mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then 

    A) \[{{V}_{N}}>{{V}_{O}}>{{V}_{H}}\]

    B) \[{{V}_{H}}>{{V}_{N}}>{{V}_{O}}\]

    C) \[{{V}_{O}}={{V}_{N}}={{V}_{H}}\]

    D) \[{{V}_{O}}>{{V}_{H}}>{{V}_{N}}\]

    Correct Answer: B

    Solution :

    [b] \[{{v}_{rms\,}}\propto \frac{1}{\sqrt{M}}\]Þ\[{{V}_{H}}<{{V}_{N}}<{{V}_{O}}\]            (\[\because \,\,\,{{M}_{H}}<{{M}_{N}}<{{M}_{O}}\])


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