CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2006

  • question_answer
    The width of a single slit if the first minimum is observed at an angle\[2{}^\circ \]with a light of wavelength \[6980\overset{\text{o}}{\mathop{\text{A}}}\,\]:

    A)  0.2mm                

    B)         \[2\times {{10}^{-5}}mm\]

    C)  \[2\times {{10}^{5}}mm\]    

    D)         2 mm

    E)  0.02mm

    Correct Answer: B

    Solution :

    The angular distance \[(\theta )\] is given by \[\theta =\frac{\lambda }{d}\] \[\theta ={{2}^{{}^\circ }}=\frac{\pi }{180}\times 2,\lambda =6980\overset{\text{o}}{\mathop{\text{A}}}\,\] \[=6980\times {{10}^{-10}}m\] \[\Rightarrow \]               \[d=\frac{\lambda }{\theta }=\frac{6980\times {{10}^{-10}}\times 180}{3.14\times 2}\]                                                 \[1.89\times {{10}^{-5}}mm\] \[\Rightarrow \]               \[d=2\times {{10}^{-5}}mm\]


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