RAJASTHAN PMT Rajasthan - PMT Solved Paper-2003

  • question_answer
    If the critical angle for total internal reflection from a medium to vacuum is \[30{}^\circ \], then the speed of light in the medium is

    A)  \[6\times {{10}^{8}}m/s\]

    B)  \[3\times {{10}^{8}}m/s\]

    C)  \[2\times {{10}^{8}}m/s\]          

    D)         \[1.5\times {{10}^{8}}m/s\]

    Correct Answer: D

    Solution :

    Critical angle \[C=30{}^\circ \] Refractive in dexroman \[\mu =\frac{1}{\sin C}=\frac{1}{\sin 30{}^\circ }=2\] \[\therefore \] Also \[\mu =\frac{c}{\upsilon }\] \[\therefore \] speed of light in medium                 \[\upsilon =\frac{c}{\mu }=\frac{3\times {{10}^{8}}}{2}\]        \[=1.5\times {{10}^{8}}m/s\]


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