VMMC VMMC Medical Solved Paper-2010

  • question_answer
    The temperature at which the speed of sound in air becomes doubled, its value at \[0{}^\circ C\] is

    A)  \[1092{}^\circ C\]                           

    B)  819 K                   

    C) \[819{}^\circ C\]              

    D)  \[546{}^\circ C\]

    Correct Answer: C

    Solution :

                                    Speed \[v\propto \sqrt{T}\] \[\therefore \]                  \[\frac{2v}{v}=\sqrt{\frac{{{T}_{2}}}{{{T}_{1}}}}\] \[\Rightarrow \]                               \[2=\sqrt{\frac{{{T}_{2}}}{{{T}_{1}}}}\] \[\Rightarrow \]                               \[4=\frac{{{T}_{2}}}{{{T}_{1}}}\] \[\Rightarrow \]                               \[{{T}_{2}}=4{{T}_{1}}=4\times 273\]                                 \[{{T}_{2}}=1092\,K\] \[\Rightarrow \]                               \[{{T}_{2}}=1092-273=819{{\,}^{o}}C\]


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