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

  • question_answer
     A slit of width\[a\]is illuminated by white light. For red light\[(\lambda =6500\,\,{AA})\], the first minima is obtained at\[\theta ={{30}^{o}}.\] Then the value of a will be  [MP PMT 1987; CPMT 2002]

    A) \[3250\,\,{AA}\]

    B) \[6.5\times {{10}^{-4}}mm\]

    C) 1.24 microns                         

    D) \[2.6\times {{10}^{-4}}cm\]

    Correct Answer: C

    Solution :

    For first minima \[\theta =\frac{\lambda }{a}\] or  \[a=\frac{\lambda }{\theta }\]                  \[\therefore a=\frac{6500\times {{10}^{-8}}\times 6}{\pi }\] (As 30o = \[\frac{\pi }{6}\]radian)           \[=1.24\times {{10}^{-4}}cm=1.24\]microns


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