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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2008

  • question_answer
        A beam of light of wavelength 600 nm from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed oil a screen 2 m away The distance between the first dark fringes on either side of the central bright fringe is

    A)  1.2 cm                                 

    B)  1.2 mm

    C)  2.4 cm                                 

    D)  2.4 mm

    Correct Answer: D

    Solution :

                    \[\beta =\frac{\lambda D}{d}=\frac{600\times {{10}^{-9}}\times 2}{1\times {{10}^{-3}}}=12\times {{10}^{-4}}m\] So, distance between the first dark fringes on either side of the central bright fringe                 \[X=2\beta \]                 \[=2\times 12\times {{10}^{-4}}m\]                 \[=24\times {{10}^{-4}}m\]                 \[=2.4\,mm\]


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