9th Class Science Sound Question Bank Sound

  • question_answer
    At what temperature will the speed of sound in air become double of its speed at \[0{}^\circ C\]?

    A) \[619{}^\circ C\]

    B) \[719{}^\circ C\]

    C) \[819{}^\circ C\]  

    D)        \[919{}^\circ C\]

    Correct Answer: C

    Solution :

                    \[\frac{{{v}_{t}}}{{{v}_{0}}}=\sqrt{\frac{{{T}_{t}}}{{{T}_{0}}}}\] \[\therefore \]  \[\frac{2{{v}_{0}}}{{{v}_{0}}}=\sqrt{\frac{{{T}_{t}}}{273}}\]           (since\[{{v}_{t}}=2{{v}_{0}}\]) \[\Rightarrow \]               \[4=\frac{{{T}_{t}}}{273}\] \[\Rightarrow \]               \[{{T}_{t}}=4\times 273=1092\,\,K\]                     \[=1092-273={{819}^{o}}C\]


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