JEE Main & Advanced Sample Paper JEE Main - Mock Test - 32

  • question_answer
    Dielectric constant of mica is 6. What is the velocity of light in this medium approximately?

    A) \[1.2\times {{10}^{7}}\,m/s\]

    B)        \[5.0\times {{10}^{7}}\,m/s\]

    C) \[1.2\times {{10}^{8}}\,m/s\]   

    D) \[3.0\times {{10}^{8}}\,m/s\]

    Correct Answer: A

    Solution :

    \[c=\frac{1}{\sqrt{{{\mu }_{0}}{{\in }_{0}}}}\] Velocity in medium, \[v=\frac{1}{\mu \in }=\frac{1}{\sqrt{{{\mu }_{r}}\,{{\mu }_{0}}{{\in }_{r}}{{\in }_{0}}}}=\frac{1}{\sqrt{{{\mu }_{r}}\,{{\in }_{r}}}}.\frac{1}{\sqrt{{{\mu }_{0}}\,{{\in }_{0}}}}\] \[=\,\,\frac{c}{\sqrt{{{\mu }_{r}}{{\in }_{r}}}}\,\,\square \,\,\frac{3\times {{10}^{8}}}{\sqrt{{{\in }_{r}}}}\] \[(\because \,\,\,\,\,{{\mu }_{r}}<1\,\,for\,\,mica)\] \[=\,\,\frac{3\times {{10}^{8}}}{\sqrt{6}}\,\square \,1.2\times {{10}^{7}}\,m/s\]


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