BHU PMT BHU PMT (Mains) Solved Paper-2006

  • question_answer

    Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:

    A ray of light travelling in a transparent medium falls on a surface separating the medium from air at an angle of incidence\[45{}^\circ \]. The ray undergoes total internal reflection. If n is the refractive index of the medium with respect to air, select the possible value of n from the following: (1) 1.3                                   (2) 1.4 (3) 1.5                                   (4) 1.6

    A)  1 and 2 are correct

    B)  2 and 3 are correct

    C)  1 and 4 are correct

    D)  1, 2 and 3 are correct

    Correct Answer: C

    Solution :

                     For total internal reflection to take place angle of incidence\[(i)>\]critical angle \[({{\theta }_{c}})\] or           \[\sin i>\sin {{\theta }_{c}}\] or         \[\sin {{45}^{o}}>\frac{1}{n}\] or            \[\frac{1}{\sqrt{2}}>\frac{1}{n}\] or            \[n>\sqrt{2}\] or            \[n>1.414\] Therefore, possible values of n can be 1.5 or 1.6.


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