J & K CET Engineering J and K - CET Engineering Solved Paper-2010

  • question_answer
    If the eighth bright band due to light of wavelength \[{{\lambda }_{1}}\] coincides with ninth bright band from light of wavelength \[{{\lambda }_{2}}\]in Young's double slit experiment, then the possible wavelengths of visible light are

    A)  \[400\,\,nm\]and \[450\,\,nm\]

    B)  \[425\text{ }nm\] and \[400\text{ }nm\]

    C)  \[400\,\,nm\] and \[425\text{ }nm\]

    D)  \[450\,\,nm\] and \[400\,\,nm\]

    Correct Answer: D

    Solution :

    Position 'of nth bright fringe from central maxima is \[\frac{n\lambda D}{d}\]. \[\therefore \] \[\frac{8{{\lambda }_{1}}D}{d}=\frac{9{{\lambda }_{2}}D}{d}\] \[\frac{{{\lambda }_{1}}}{{{\lambda }_{2}}}=\frac{9}{8}\] which is Correct only for option [d].


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