JEE Main & Advanced Physics Ray Optics Question Bank Total Internal Reflection

  • question_answer
    A light ray from air is incident (as shown in figure) at one end of a glass fiber (refractive index m = 1.5) making an incidence angle of 60o on the lateral surface, so that it undergoes a total internal reflection.  How much time would it take to traverse the straight fiber of length 1 km   [Orissa JEE 2002]

    A)            3.33 m sec

    B)            6.67 m sec

    C)            5.77 m sec

    D)            3.85 m sec

    Correct Answer: D

    Solution :

                       When total internal reflection just takes place from lateral surface \[i=C\] i.e. \[{{60}^{o}}=C\]                    \[\Rightarrow \sin {{60}^{o}}=\sin C=\frac{1}{\mu }\Rightarrow \mu =\frac{2}{\sqrt{3}}\] Time taken by light to traverse some distance in a medium \[t=\frac{\mu x}{c}=\frac{\frac{2}{\sqrt{3}}\times {{10}^{3}}}{3\times {{10}^{8}}}=3.85\]m sec.


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