CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2008

  • question_answer
    If the ratio of amounts of scattering of two light waves is 1: 4, the ratio of their wavelengths is

    A) \[1:2\]                                  

    B)  \[\sqrt{2}:1\]   

    C)  \[1:\sqrt{2}\]                   

    D)  \[1:1\]

    E)  \[2:1\]

    Correct Answer: B

    Solution :

    From Rayleigh scattering concept \[I\propto \frac{1}{{{\lambda }^{4}}}\]or\[\frac{{{I}_{1}}}{{{I}_{2}}}={{\left( \frac{{{\lambda }_{2}}}{{{\lambda }_{1}}} \right)}^{4}}\] Or           \[{{\left( \frac{{{\lambda }_{2}}}{{{\lambda }_{1}}} \right)}^{4}}=\frac{1}{4}\]      Or           \[\frac{{{\lambda }_{2}}}{{{\lambda }_{1}}}={{\left( \frac{1}{2} \right)}^{1/2}}\] Or           \[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}=\frac{\sqrt{2}}{1}\]


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