JEE Main & Advanced Physics Wave Mechanics Question Bank Musical Sound

  • question_answer
    The intensity of sound from a radio at a distance of 2 metres from its speaker is \[1\times {{0}^{-2}}\mu \ W/{{m}^{2}}.\] The intensity at a distance of 10 meters would be                              [CPMT 2005]

    A)            \[0.2\times {{10}^{-2}}\mu \ W/{{m}^{2}}\]               

    B)            \[1\times {{10}^{-2}}\mu \ W/{{m}^{2}}\]

    C)            \[4\times {{10}^{-4}}\mu \ W/{{m}^{2}}\]                  

    D)            \[5\times {{10}^{-2}}\mu \ W/{{m}^{2}}\]

    Correct Answer: C

    Solution :

               \[I\propto \frac{1}{{{r}^{2}}}\Rightarrow \frac{{{I}_{2}}}{{{I}_{1}}}=\frac{r_{1}^{2}}{r_{2}^{2}}\]Þ \[\frac{{{I}_{2}}}{1\times {{10}^{-2}}}=\frac{{{2}^{2}}}{{{10}^{2}}}=\frac{4}{100}\] Þ \[{{I}_{2}}=\frac{4\times {{10}^{-2}}}{100}\] = \[4\times {{10}^{-4}}\ \mu \ W/{{m}^{2}}\]


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