MGIMS WARDHA MGIMS WARDHA Solved Paper-2008

  • question_answer
    In Young's double slit experiment with sodium vapour lamp of wavelength 589 nm and the slits 0.589 mm apart, the half angular width of the central maximum is

    A) \[{{\sin }^{-1}}\,(0.01)\]

    B) \[{{\sin }^{-1}}\,(0.0001)\]

    C) \[{{\sin }^{-1}}\,(0.001)\]

    D) \[{{\sin }^{-1}}\,(0.1)\]

    Correct Answer: C

    Solution :

    In Young's double slit experiment, half angular width is given by \[\sin \theta =\frac{\lambda }{d}\]                 \[=\frac{589\times {{10}^{-9}}}{0.589\times {{10}^{-3}}}={{10}^{-3}}\] \[\Rightarrow \]               \[\theta ={{\sin }^{-1}}(0.001)\]


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