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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2006

  • question_answer
    A thin prism \[{{P}_{1}}\] with angle \[{{4}^{o}}\] made from a glass of refractive index 1.54 is combined with another thin prism \[{{P}_{2}}\] made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of the prism \[{{P}_{2}}\]is:

    A)  \[{{5.33}^{o}}\]                               

    B)  \[{{4}^{o}}\]

    C)  \[{{3}^{o}}\]                                     

    D)  \[{{2.6}^{o}}\]

    Correct Answer: C

    Solution :

    For no deviation,                 \[(\mu -1)A+(\mu -1)A=0\] \[\Rightarrow \]               \[A=\frac{(\mu -1)A}{(\mu -1)}\]                 \[=-\frac{(1.54-1){{4}^{o}}}{(1.72-1)}\]                 \[=-{{3}^{o}}\] Negative sign implies that two prisms should be connected in opposition.


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