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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2011

  • question_answer
    If the scattering intensity of a liquid is 8 units at a wavelength of 500 nm, then the scattering intensity at a wavelength of 400 nm will be approximately

    A)  13 units                              

    B)  16 units

    C)  20 units                              

    D)  24 units

    Correct Answer: C

    Solution :

    Intensity                                 \[I\propto \frac{1}{{{\lambda }^{4}}}\] \[\therefore \]                  \[\frac{{{I}_{2}}}{{{I}_{1}}}={{\left( \frac{{{\lambda }_{1}}}{{{\lambda }_{2}}} \right)}^{4}}\]                                 \[\frac{{{I}_{2}}}{{{I}_{1}}}={{\left( \frac{500}{400} \right)}^{4}}\cong 2.5\]                                 \[{{I}_{2}}=2.5\,{{I}_{1}}=2.5\times 8\]                                 \[{{I}_{2}}=20.5\approx 20\] units 


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