Railways RRB (Assistant Loco Pilot & Technician) Solved Paper-2 (2014)

  • question_answer
    At a given temperature, the ratio of root mean square velocities of hydrogen molecule and helium atom will be

    A)  \[1:\sqrt{2}\]                          

    B)  \[\sqrt{2}:1\]     

    C)  \[1:2\]                         

    D)  \[2:1\]

    Correct Answer: B

    Solution :

    \[{{V}_{rms}}=\sqrt{\frac{3RT}{M}}\] \[\frac{{{V}_{rms}}\,of\,{{H}_{2}}}{{{V}_{rms}}\,of\,He}=\sqrt{\frac{M\,of\,He}{M\,of\,{{H}_{2}}}}\]             \[=\sqrt{\frac{4}{2}}=\frac{\sqrt{2}}{1}\]


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