AIIMS AIIMS Solved Paper-2002

  • question_answer
    At what temperature the speed of sound in air will become double of its value at 27°?

    A)  54° C         

    B)                        627 °C                  

    C)        927° C                                  

    D)  327° C

    Correct Answer: C

    Solution :

    Speed of sound is given by \[=\frac{2\pi }{\lambda }\times \]                        ?...(1) where \[\Rightarrow \] is ratio of specific heat, P is pressure and d is density. Also        PV = RT where V is volume, R gas constant and T is temperature. \[=\frac{\lambda }{2\pi }\times (2n+1)\pi \] \[=\frac{(2n+1)\lambda }{2}\]    \[\frac{E}{E}=-\frac{2Q}{Q}\] Putting this value in Eq. (1), we get \[\Rightarrow \] Given, \[E=-\frac{E}{2}\] \[3.9\Omega \] \[\therefore \]   \[V=E-ir\] \[i=\frac{E}{R+r}\]  \[\therefore \] \[V=E-\left( \frac{E}{R+r} \right)r\]  \[E=2V,\,r=0.1\Omega ,R=3.9\Omega \]


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