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BCECE Engineering BCECE Engineering Solved Paper-2013

  • question_answer
    A ray is incident at an angle of incidence \[i\] on one surface of a prism of small angle A and emerges normally from the opposite surface. If the refractive index of the material of the prism is \[\mu ,\]the angle of incidence \[i\] is nearly equals to

    A)  \[\mu \,A/2\]

    B)                         \[\,A/2\mu \]  

    C)         \[\,\mu A\]       

    D)                         \[\,A/\mu \]

    Correct Answer: C

    Solution :

    For a small angle prism, \[\delta =(u-1)A\]            ...(i) Since, the ray emerges normally, \[\therefore \,\,\,e=0\] By the relation, \[A+\delta =i+e\] We have,   \[i=A+\delta \] or          \[6=(i-A)\]               ...(ii) From Eqs. (i) and (ii) \[(i-A)=(\mu -i)A\]                 \[\Rightarrow \]               \[i=\mu A\]


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