BCECE Medical BCECE Medical Solved Papers-2011

  • question_answer
    The wavelength and frequency of beam of light in water of refractive index 4/3 having wavelength 0.48 micron in air are

    A)  \[0.16\times {{10}^{-6}}m,\,\,6.25\times {{10}^{14}}Hz\]

    B)  \[0.36\times {{10}^{-6}}m,\,\,6.25\times {{10}^{14}}Hz\]

    C)  \[0.36\times {{10}^{-6}}m,\,\,3.25\times {{10}^{14}}Hz\]

    D)  \[0.26\times {{10}^{-6}}m,\,\,6.25\times {{10}^{14}}Hz\]

    Correct Answer: B

    Solution :

    \[{{\lambda }_{m}}=\frac{{{\lambda }_{a}}}{\mu }=\frac{0.48\times {{10}^{-6}}}{4/3}m=0.36\times {{10}^{-6}}\,\,m\] Frequency of light in air                 \[v=\frac{c}{{{\lambda }_{a}}}=\frac{3\times {{10}^{8}}}{0.48\times {{10}^{-6}}}=6.25\times {{10}^{14}}Hz\] On passing through water (medium), frequency does not change. Hence, it will be\[6.25\times {{10}^{14}}Hz\] in water.


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