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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 15

  • question_answer
    White light of wavelength \[400\text{ }nm\]to \[700\text{ }nm\]is incident normally on a Young's double slit experiment apparatus. The distance between slits is \[d=1\text{ }mm\]and distance between plane of the slits and the screen is\[0.8\text{ }m\]. At a point on the screen just in front of one of the slits, the missing wavelengths is (are)

    A) \[533.3\text{ }nm\]                    

    B) \[416.7\text{ }nm\]          

    C) \[666.7\text{ }nm\]                    

    D) \[577.7\text{ }nm\]

    Correct Answer: B

    Solution :

    [b] For minima \[y=\frac{\left( 2n-1 \right)D}{2d}\lambda \] For the point just in front of one of the slit. \[y=0.5\times {{10}^{-3}}m\] \[\Rightarrow \,\,\,0.5\times {{10}^{-3}}=\frac{\left( 2n-1 \right)0.8}{2\times {{10}^{-3}}}\lambda \] \[\lambda =\frac{1250}{\left( 2n-1 \right)}nm\] In the range \[400\text{ }nm\]to \[700\text{ }nm,\] \[\lambda =416.7\,nm\] 


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