JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2009

  • question_answer
        How many times more intense is a 90 dB sound than a 40 dB sound?

    A)  2.5                                        

    B)  5

    C)  50                                         

    D)  \[{{10}^{5}}\]

    Correct Answer: D

    Solution :

                    \[90=10{{\log }_{10}}\left( \frac{{{I}_{1}}}{{{I}_{0}}} \right)\] \[\Rightarrow \]               \[\frac{{{I}_{1}}}{{{I}_{0}}}={{10}^{9}}\]                                 ?..(i) Again,    \[40=10{{\log }_{10}}\left( \frac{{{I}_{1}}}{{{I}_{0}}} \right)\] \[\Rightarrow \]               \[\frac{{{I}_{2}}}{{{I}_{0}}}={{10}^{4}}\]                                 ?.(ii) From Eqs (i) and (ii), we get \[\frac{{{I}_{1}}}{{{I}_{2}}}={{10}^{5}}\]


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