CMC Medical CMC-Medical VELLORE Solved Paper-2007

  • question_answer
    A sound has an intensity of\[2\times {{10}^{-8}}W\text{/}{{m}^{2}}\]. Its intensity level in decibels is\[\left( {{\log }_{10}}2=0.3 \right)\]

    A)  23                                         

    B)  3

    C)  43                                         

    D)  4.3

    Correct Answer: C

    Solution :

                    \[L=10\,{{\log }_{10}}\left( \frac{I}{{{I}_{0}}} \right)\] \[\therefore \] \[L=10{{\log }_{10}}\left( \frac{2\times {{10}^{-8}}}{{{10}^{-12}}} \right)\] \[(\because {{I}_{0}}={{10}^{-12}}W\text{/}{{m}^{2}})\] \[L=10\,{{\log }_{10}}(2\times {{10}^{4}})\] \[L=10\,[{{\log }_{10}}2+{{\log }_{10}}{{(10)}^{4}}]\] \[L=10\,(4.3)\] \[L=43\,decibel\]


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