Pretend I went to buy a big diamond or a big cubic zirconia(CZ) for making a rin

Question

Pretend I went to buy a big diamond or a big cubic zirconia(CZ) for making a ring in a gem show. The salesman firstshines a light beam from air on the diamand at incident angle of 15degrees. He then shines the same light on to cubic zirconiaat incident angle of 30 degrees. Which one of the two I willend up buying based only on the brilliance due to the totalinternal reflection of the light beam (n diamond =2.42 and nCZ= 2.20) Based on the appropriate calculation for totalinternal reflection (TIR) what will you advise?    a. Of course diamond ( its timeI bought one, see the brillant colors)    b.   Definitely cubicziconia ( look at the TIR and the price)    c.   Neither one ( both of them do notinternally reflect)    d. Both (because both internallyreflect) Pretend I went to buy a big diamond or a big cubic zirconia(CZ) for making a ring in a gem show. The salesman firstshines a light beam from air on the diamand at incident angle of 15degrees. He then shines the same light on to cubic zirconiaat incident angle of 30 degrees. Which one of the two I willend up buying based only on the brilliance due to the totalinternal reflection of the light beam (n diamond =2.42 and nCZ= 2.20) Based on the appropriate calculation for totalinternal reflection (TIR) what will you advise?    a. Of course diamond ( its timeI bought one, see the brillant colors)    b.   Definitely cubicziconia ( look at the TIR and the price)    c.   Neither one ( both of them do notinternally reflect)    d. Both (because both internallyreflect)

Explanation / Answer

for total internal reflection critical angle=c=sin-1[1/n] hence critical angle fordiamond=sin-1[1/2.42]=24.40degree. critical angle for Ziconia=sin-1[1/2.20]=27.03degree as the sales man shines light at angle 15 degree on diamond and 30degree on Ziconia diamond shines less than Ziconia. hence option B is correct.

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