JCECE Engineering JCECE Engineering Solved Paper-2014

  • question_answer
    If the angle of incidence is twice the angle of refraction in a medium of refractive index\[\mu \], then the angle of incidence is

    A) \[2{{\cos }^{-1}}\frac{\mu }{2}\]                               

    B) \[2{{\sin }^{-1}}\frac{\mu }{2}\]

    C) \[2{{\cos }^{-1}}\mu \]                 

    D) \[2{{\sin }^{-1}}\mu \]

    Correct Answer: A

    Solution :

    According to Snell's law                 \[\mu =\frac{\sin i}{\sin r}\]                 \[i=2r\]                 \[\mu =\frac{\sin 2r}{\sin r}\Rightarrow \mu =\frac{2\sin r\cos r}{\sin r}\]                 \[{{\cos }^{-1}}\frac{\mu }{2}=r\]                 \[\]


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