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

  • question_answer
    The ratio of densities of nitrogen and oxygen is 14:16. The temperature at which the speed of sound in nitrogen will be same at that in oxygen at 55oC is [EAMCET (Engg.) 1999]

    A)            35°C                                         

    B)            48°C

    C)            65°C                                         

    D)            14°C

    Correct Answer: D

    Solution :

                       \[v=\sqrt{\frac{\gamma \,RT}{M}}\]Þ\[\frac{{{T}_{N}}}{{{T}_{0}}}=\frac{{{M}_{N}}}{{{M}_{0}}}\]Þ \[\frac{{{T}_{N}}}{273+55}=\frac{14}{16}=\frac{7}{8}\]            Þ \[{{T}_{N}}=287K=14{}^\circ C\]


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