Light with a frequency of 5.0×1014 Hz is travelling through glass and strikes a glass/air interface as shown above. Angle X1 is 27.0o to the normal. Some of the light emerges from the glass and some is reflected back into the glass. If the index of refraction for this glass is 1.87,
A.) What is the value of angle X3? 5.81×101 deg
B.) What is the value of angle X2? 2.70×101 deg
C.) What is the speed of light in this glass?
D.) What is the wavelength of this light in the glass?
E.) Finally, what is the largest angle that the light in this glass could make with the normal and still produce an emergent ray into air?
I have A and B Answered but have no clue how to do C-E.
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Verified answer
C) Speed of light = c / µ = 3 . 10^8 / 1.87 = 1.60 . 10^8 m/s
D) wavelength = c / f = 1.6 . 10^8 / 5 . 10^14 = 3.21 . 10^–7 m
E) sin x = 1/ 1.87
The critical angle ( x ) = 32.3˚