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

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    If at same temperature and pressure, the densities for two diatomic gases are respectively \[{{d}_{1}}\] and \[{{d}_{2}}\], then the ratio of velocities of sound in these gases will be  [CPMT 2001]

    A)            \[\sqrt{\frac{{{d}_{2}}}{{{d}_{1}}}}\]                             

    B)            \[\sqrt{\frac{{{d}_{1}}}{{{d}_{2}}}}\]

    C)            \[{{d}_{1}}{{d}_{2}}\]       

    D)            \[\sqrt{{{d}_{1}}{{d}_{2}}}\]

    Correct Answer: A

    Solution :

               Speed of sound \[v=\sqrt{\frac{\gamma P}{d}}\]Þ\[\frac{{{v}_{1}}}{{{v}_{2}}}=\sqrt{\frac{{{d}_{2}}}{{{d}_{1}}}}\] (\[\because \,P\text{-}\]constant)


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