VMMC VMMC Medical Solved Paper-2006

  • question_answer
    The first diffraction minimum due to single slit diffraction is \[\theta \], for a light of wave-length 5000\[\overset{0}{\mathop{A}}\,\]. If the width of the slit is \[1\times {{10}^{-4}}\,cm,\] then the value of \[\theta \]is:

    A) \[30{}^\circ \]                                   

    B) \[45{}^\circ \]                   

    C) \[60{}^\circ \]                   

    D)        \[15{}^\circ \]

    Correct Answer: A

    Solution :

    The distance of first diffraction minimum from the central principal maximum. \[x=\frac{D\lambda }{d}\] \[\frac{x}{D}=\frac{\lambda }{d}.\] or                            \[d=\frac{\lambda }{\sin \theta }\] \[\Rightarrow \]                               \[\sin \theta =\frac{\lambda }{d}=\frac{5000\times {{10}^{-8}}}{1\times {{10}^{-4}}}\] \[\sin \theta =0.5=\sin {{30}^{o}}\] \[\theta ={{30}^{o}}\]


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