J & K CET Medical J & K - CET Medical Solved Paper-2012

  • question_answer
    Consider the four gases-hydrogen, oxygen, nitrogen and helium, at the same temperature. Arrange them in the increasing order of the de-Broglie wavelengths of their molecules

    A)  hydrogen, helium, nitrogen, oxygen

    B)  oxygen, nitrogen, hydrogen, helium

    C)  oxygen, nitrogen, helium, hydrogen

    D)  nitrogen, oxygen, helium, hydrogen

    Correct Answer: C

    Solution :

     de-Broglie wavelength of a gas \[\lambda =\frac{h}{\sqrt{3mk{{B}^{T}}}}\] \[r\propto \frac{1}{\sqrt{m}}\] we have, \[{{m}_{{{O}_{2}}}}>{{m}_{{{H}_{2}}}}>{{m}_{He}}>{{m}_{{{H}_{2}}}}\] \[\therefore \] \[{{\lambda }_{{{O}_{2}}}}<{{\lambda }_{{{H}_{2}}}}<{{\lambda }_{He}}<{{\lambda }_{{{H}_{2}}}}\]


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