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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2010

  • question_answer
    In a given direction, the intensities of the scattered light by a scattering substance for two beams of light are in the ratio of \[256:81\]. The ratio of the frequency of the first beam to the frequency of the second beam is

    A) \[64:127\]                           

    B) \[1:2\]

    C) \[64:27\]                             

    D) None of these

    Correct Answer: D

    Solution :

    According to Rayleigh scattering formula Intensity of scattered light \[I\propto \frac{1}{{{(\lambda )}^{4}}}\propto {{f}^{4}}\] \[\therefore \]  \[\frac{{{f}_{1}}}{{{f}_{2}}}={{\left[ \frac{{{I}_{1}}}{{{I}_{2}}} \right]}^{1/4}}\]                 \[={{\left[ \frac{256}{81} \right]}^{1/4}}\]                 \[=\frac{4}{3}\] Hence, option (d) is correct.


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