![]() Us of one would be equal to end times Sign of 60 degrees co sign of status of our minus co sign of 60 degrees Sign of data Sabbar. We know that sign of a minus b will equal sign of a co sign of B minus co sign of a sign of B. This equation right here we can now substitute and say that sign of fate, us of one equals n sign of 60 degrees minus fate us of our and we're going to use a trade economic identity. So this means that status of our plus fate US of three should equal 60 degrees and we have that angles of threes equaling 60 degrees minus fate US of our and so equation. Again, the total number of angle that totaled angle measure in a triangle and we can say 90 degrees plus fate us of our plus 90 degrees rather minus fate a sub three. So for part B, we have that and sign status of three would be equal to sign of fate us of one.Īnd so we can say that fate us of our prime Close data sub three prime plus five equals 180 degrees. ![]() But now we have an angle here, and this angle here would be considered status of one. We now know now we now we need to apply the Snell's Law of refraction to the path of the light red light ray that passes through the prism so we can say, Ah, here where the light ray would now for part B b the same path as part A. This would be our answer for part A For part B. So the smallest angle of incidence at which the ray can enter the left end and reach the right end of the prism is going to be famous of eye again.ģ0 5.6 degrees. ![]() So we can say that sign of fate us of our would be equal to n sign of data sub I and so fade us that I would be equal to arc sine of 1.60 time sign of 21.32 degrees. And so we can say that the refracted angle status of our would simply be equal to 90 degrees minus 68.68 This is equaling 21.32 degrees and then we're going to apply the angle of refraction for the first interface of the of the prism. This is equaling basis of our prime 60 eight point 68 degrees. Um, we can then say that status our prime would be equal to 180 degrees, minus 60 degrees minus 51.32 degrees. This should be equal to the total angle and a triangle 180 degrees. And we can say that Fi Plus, Fada said, our prime plus fade us of C prime. Are crime would be equal to 90 degrees, minus the status of our. We can say similarly, we can say that, Beta said. ![]() Ah, this is going to be equal to essentially 51 0.32 degrees. Weaken, say sign of the critical angle would be equal to one over end, and so the critical angle subsea would be equal to arc sine of one over 1.6 the refractive index of the prison itself, and we find that the critical angle is 38.68 degrees at this point, we know that status of C prime would simply be equal to 90 degrees minus status subsea. So now we can use the Snell's Law of refraction. This would be a fate of our we can say that status subsea would then be the critical angle, critically incident angle at the second surface. So we can say that here we can first say that we're going to let the incident angle at the first face.īe faith, a faith, a sub I and this would be refracted at the first surface. If the ray has to minimally exit the second surface than at the second surface incident angle, that should be the critical angle. And we have the index of really refractive index of the prison and equally 1.6. I can say that the apex angle of the prison is going to be fired, and that's that equaling 60 degrees. ![]()
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