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MGIMS WARDHA MGIMS WARDHA Solved Paper-2003

  • question_answer
    The speed of sound in a gas \[(\gamma -1.5)\] at 300 K is 340 m/s. The rms velocity of gas molecules will be

    A) 340 m/s                               

    B) \[\frac{340}{\sqrt{2}}\]m/s

    C)  340 \[\sqrt{2}\] m/s                      

    D) 340\[\sqrt{15}\]  m/s

    Correct Answer: C

    Solution :

    The root mean square velocity of hydrogen molecules is given by \[{{\upsilon }_{rms}}=\sqrt{\frac{3}{\gamma }}\upsilon \] \[=\sqrt{\frac{3}{1.5}}\times 340\] \[=\sqrt{2}\times 340\] \[=340\sqrt{2}m/s\]      


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