J & K CET Medical J & K - CET Medical 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 Youngs double slit experiment, then the possible wavelengths of visible light are

    A)  400 nm and 450 nm

    B)  425 nm and 400 nm

    C)  400 nm and 425 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 .


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