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10th Class Science Light - Reflection and Refraction Question Bank Light

  • question_answer
    A glass prism has refractive index 1.5 and the refracting angle is \[90{}^\circ \]. If a ray falls on it at an angle of incidence of \[30{}^\circ \], then angle of emergence will be

    A) \[60{}^\circ \]

    B) \[30{}^\circ \]

    C) \[45{}^\circ \]

    D)  The ray will not emerge out of his prism  

    Correct Answer: D

    Solution :

     We have,            \[\delta =(\mu -1)A\]                                   \[=(1.5-1)\times 90\]                                   \[=0.5\times 90\]                                   \[={{45}^{o}}\] Now,                 \[\delta =({{i}_{1}}+{{i}_{2}})-A\] \[\therefore \]              \[{{i}_{2}}=\delta -{{i}_{1}}+A\]                                   \[=45-{{30}^{o}}+{{90}^{o}}\]                                   \[={{105}^{o}}\] Angle of emergence has inclination with second surface                 \[=90-105\]                 \[=-15\] This shows that light ray will not emerge out of the prism.


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