Question
please help, I have no idea what to do
Practice Questions and Problem (Exam 2) Problom 3: magine you have a long piece of fiber optic cable and shine red laser (6 50 nm) throuth ony angle shown in the diagram below. The speed of light inside the cable is n- 60° 1. What is the index of refraction of the gl wavelength of the red laser light inside the glass? ass? What is the frequency of the laser light in THz? What 10-4030 2. Draw a ray diagram that shows the paths taken by light as it first approaches the left side of optic cable-include direction of both reflections and refractions. Explain how you knew which direction the light ray would bend upon entering the glass. (8 pts) 3. Calculate the angle of refraction as the laser light first enters the cable. (8 pts) As discussed, fiber optic cables work by preventing the light from leaving the material. Using appropriate concepts and vocabulary from class, explain how this works What circumstances could cause the light to leave the material? (10 pts) 4. 5. After entering the cable, the laser light approaches the top side of the fiberglass. In this scenario, will the light exit the cable or not? (8 pts) Show any calculations and explain your reasoning. if the light does leave the cable, determine the refraction angle out of the glass. If not, determine the reflection angle back into the cable (6pts). 6.
Explanation / Answer
1) we know refractive index, n = c/v
here, c = speed of light in vaccum = 2*108 m/s
and v = speed of light in air = 2*108 m/s
hence, n = 3*108/2*108 = 1.5
n=1.5
now, we know, wavelength = c/f = 650*10-9 m ----------->> (given in question)
where, c = speed of light in air/vaccum
and f= frequency = ??
hence , frequency = 3*108 / 650*10-9 = 0.461*1015 = 461 Thz
now using same formula to find wavelength of red laser inside glass,
wavelength = v/f
here , v= velocity of light inside glass= 2*108 and f= frequency = 461 Thz
hence, wavelength = 2*108/461*1012 = 433.8*10-9 = 433.8 nm
wavelength of red laser in glass = 433.8 nm
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