JEE Main & Advanced Physics Wave Optics / तरंग प्रकाशिकी Question Bank Diffraction of Light

  • question_answer
    The light of wavelength\[6328\,\,{AA}\]is incident on a slit of width 0.2 mm perpendicularly, the angular width of central maxima will be                                   [MP PMT 1987; Pb. PMT 2002]

    A) \[{{0.36}^{o}}\]                   

    B) \[{{0.18}^{o}}\]

    C) \[{{0.72}^{o}}\]                   

    D) \[{{0.09}^{o}}\]

    Correct Answer: A

    Solution :

    The angular half width of the central maxima is given by \[\sin \theta =\frac{\lambda }{a}\]\[\Rightarrow \theta =\frac{6328\times {{10}^{-10}}}{0.2\times {{10}^{-3}}}\]rad \[=\frac{6328\times {{10}^{-10}}\times 80}{0.2\times {{10}^{-3}}\times \pi }\]degree = 0.18o            Total width of central maxima \[=2\theta ={{0.36}^{o}}\]


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