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) 1.6A) 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.You need to login to perform this action.
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