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JEE Main & Advanced Physics Wave Mechanics Question Bank Basics of Mechanical Waves

  • question_answer
    At which temperature the speed of sound in hydrogen will be same as that of speed of sound in oxygen at 100oC [UPSEAT 1999]

    A)            ? 148oC                                   

    B)            ? 212.5oC

    C)            ? 317.5oC                               

    D)            ? 249.7oC

    Correct Answer: D

    Solution :

                Speed of sound in gases is \[v=\sqrt{\frac{\gamma RT}{M}}\]Þ \[T\propto M\] (Because v, g-constant). Hence  \[\frac{{{T}_{{{H}_{2}}}}}{{{T}_{{{O}_{2}}}}}=\frac{{{M}_{{{H}_{2}}}}}{{{M}_{{{O}_{2}}}}}\] Þ \[\frac{{{T}_{{{H}_{2}}}}}{(273+100)}=\frac{2}{32}\]Þ \[{{T}_{{{H}_{2}}}}=23.2K=-249.7{}^\circ C\]


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