A ray of light is traveling in glass and strikes a glass/liquidinterface. The an

Question

A ray of light is traveling in glass and strikes a glass/liquidinterface. The angle of incidence is 51.0°, and the index ofrefraction of glass is n = 1.50. (a) What must be the index of refraction of theliquid such that the direction of the light entering the liquid isnot changed?
1

(b) What is the largest index of refraction that the liquid canhave, such that none of the light is transmitted into the liquidand all of it is reflected back into the glass?
2

(a) What must be the index of refraction of theliquid such that the direction of the light entering the liquid isnot changed?
1

(b) What is the largest index of refraction that the liquid canhave, such that none of the light is transmitted into the liquidand all of it is reflected back into the glass?
2

Explanation / Answer

For the first part; for the light not to change its angleinside the oil, the index of refraction of the oil mustbe equal to the index of refraction of glass. Therefore therequired index of refraction of the oil is 1.5
For the second part: the angle of refraction is90o therefore we should have from the snell' law nglasssin1 = noil sin90o or noil = 1.5*sin51o      = 1.17
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