NEET Sample Paper NEET Sample Test Paper-36

  • question_answer
    A slit of width is illuminated by white light. For red light \[(\lambda =6500\overset{\text{o}}{\mathop{\text{A}}}\,),\] the first minima is obtained at \[\theta ={{30}^{o}}.\] Then the value of will be

    A) \[3250\overset{\text{o}}{\mathop{\text{A}}}\,\]      

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

    C)  1.24         

    D)  \[2.6\times {{10}^{-4}}\,mm\]

    Correct Answer: C

    Solution :

     For first minima \[\theta =\frac{\lambda }{a}\]or \[a=\frac{\lambda }{\theta }\]\[a=\frac{\lambda }{\theta }\] \[\therefore \] \[a=\frac{6500\times {{10}^{-5}}\times 6}{\pi }\] \[(As\,{{30}^{o}}=\frac{\pi }{6}\,radian)\] \[=1.24\times {{10}^{-4}}\,cm=1.24\,\text{microns}\]


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