A ray of light is traveling in glass and strikes aglass/liquid interface. The an

Question

A ray of light is traveling in glass and strikes aglass/liquid interface. The angle of incidence is 53.0°, and the index ofrefraction of glass is n = 1.50. (a) What must be the index of refraction of the liquid suchthat the direction of the light entering the liquid is notchanged?
(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?
A ray of light is traveling in glass and strikes aglass/liquid interface. The angle of incidence is 53.0°, and the index ofrefraction of glass is n = 1.50. (a) What must be the index of refraction of the liquid suchthat the direction of the light entering the liquid is notchanged?
(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?

Explanation / Answer

   a.   According to Snell'slaw         refractiveindex   =   sin i / sin r          nliquid/ nglass   =   sin i / sini         ( as ray oflight does not change direction,i   =   r)          =>   nliquid   =   nglass   =   1.5    b.   For total internalreflection to occur,   nliquid /nwater   =   sinic       here   ic   =   53.00       =>   nliquid   =   1.5* sin53.00   =   1.1979   ˜   1.20       here   ic   =   53.00       =>   nliquid   =   1.5* sin53.00   =   1.1979   ˜   1.20

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