A ray incident from the air is incident at an angle of 45? on a slab with an ind

Question

A ray incident from the air is incident at an angle of 45? on a slab with an index of refraction n > 1. What must n be such that the angle of refraction is 30? ? A. 1.21 B. 1.31 C. 1.41 D. 1.51

B.)  the critical angle relation ?c = sin?1 1 n (2) may be of use, where a ray propagates in a medium with an index of refraction n, emerging into air where the index of refraction is 1.00. A refractive medium has an index of refraction of 1.50. What is the critical angle ?c? A. 90.0 ? B. 63.7 ? C. 41.8 ? D. 31.4 ?

C.)A newly discovered transparent homogeneous polymer has an unknown index of refraction. Suppose the critical angle ?c for the material is measured to be 35.7 ? ; rays with larger incident angles are internally reflected and do not emerge from the medium. What is the index of refraction of the medium? A. 1.41 B. 1.51 C. 1.61 D. 1.71

D.) Optical fibers are a central part of technology for rapid information transmission with a high level of efficiency. A new type of optical fiber is crafted with an index of refraction n = 1.25 less than that of water in the vicinity of room temperature, where nH2O = 1.33. Why is the fact that n < nH2O potentially problematic if the fiber should be submerged? A. Total internal reflection would be frustrated, allowing loss of signal. B. Internal reflection would actually be enhanced, so there is no problem. C. Electric eels might have free internet access

Explanation / Answer

A) Use Snell’s law of refraction:

n1*sin(th1) = n2*sin(th2)

=> 1*sin45 = n2*sin30

=> n2 = 1.41

B) th(c) = arcin(1/n)

= arcsin(1/1.5)

= 41.8 degrees

C) th(c) = 35.7 = arcsin(1/n)

=> n = 1.71

D) A. Total internal reflection would be frustrated, allowing loss of signal.

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