JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Waves

  • question_answer
    A person speaking normally produces a sound intensity of 40 dB at a distance of 1 m. If the threshold intensity for reasonable audibility is 20 dB, the maximum distance at which he can be heard clearly is

    A)  \[4m\]

    B)  \[~5m\]  

    C) \[10m\] 

    D) \[20m\]

    Correct Answer: C

    Solution :

    [c] \[40=10\log \frac{{{I}_{1}}}{{{I}_{0}}},\,\,\,\,\therefore \frac{{{I}_{1}}}{{{I}_{2}}}={{10}^{4}}\] and \[20=10\log \frac{{{I}_{2}}}{{{I}_{0}},}\,\,\therefore \frac{{{I}_{2}}}{{{I}_{0}}}={{10}^{2}}\,\,\therefore \frac{{{I}_{1}}}{{{I}_{2}}}=100\] Also \[\frac{{{I}_{1}}}{{{I}_{2}}}=100=\frac{r_{2}^{2}}{r_{1}^{2}}=\frac{r_{2}^{2}}{{{1}^{2}}}\,\,\,or\,\,\,{{r}_{2}}=10m.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner