JEE Main & Advanced Physics Wave Optics / तरंग प्रकाशिकी Question Bank Young's Double Slit Experiment and Biprism

  • question_answer
    In Young's double slit experiment, the fringe width is \[1\times {{10}^{-4}}m\]if the distance between the slit and screen is doubled and the distance between the two slit is reduced to half and wavelength is changed from \[6.4\times {{10}^{7}}m\] to \[4.0\times {{10}^{-7}}m\], the value of new fringe width will be

    A)            \[0.15\times {{10}^{-4}}m\]  

    B)            \[2.0\times {{10}^{-4}}m\]

    C)            \[1.25\times {{10}^{-4}}m\]  

    D)            \[2.5\times {{10}^{-4}}m\]

    Correct Answer: D

    Solution :

               \[\beta =\frac{\lambda D}{d}\]\[\Rightarrow \frac{{{\beta }_{2}}}{{{\beta }_{1}}}=\frac{{{\lambda }_{2}}{{D}_{2}}{{d}_{1}}}{{{\lambda }_{1}}{{D}_{1}}{{d}_{2}}}\]\[\Rightarrow {{\beta }_{2}}=2.5\times {{10}^{-4}}m\].


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