I need help with part E Determine theta_a Determine theta_b. Determine theta_c.

Question

I need help with part E

Determine theta_a Determine theta_b. Determine theta_c. What is the relationship betw een the directions of the incident ray and the emerging ray? Ray of light in diamond(index of refraction 2,42) is incident on an interface with water. What is the largest angle the incident ray can make with the normal in diamond and not be totally re fleeted back into the diamond? Use the graph in the figure for silicate flint glass. Part A. What arc the indexes of refraction of this glass for extreme violet light of wavelength lambda_1 = 400 nm and for extreme red light of wavelength lambda_2 = 700 nm? Part B. What are the wavelengths of the lambda_1 = 400 nm violet light and lambda_2 = 700 nm red light in this Part C. Which of the lights (the red light or the violet light) travels faster in the glass? Part D. Calculate the ratio of the speed of extreme red light to that of extreme violet light in the glass. Part E. If a beam of white light in air strikes a sheet of this glass at 69.0 degree with the normal in air. what will be the angle of dispersion between the extremes of visible light in the glass? In other words, what will be the angle between extreme red and extreme violet light in the glass?

Explanation / Answer

givne wavelength of extream voilet and red lights are 400 nm, 700 nm

we know that deviation angle is delta v= (nv - 1)A
           delta r = (nr -1) A

  

   angular deviation is = Dv -Dr = (nv -nr)A and

   refractive index n = lambda _0 / lambda

   (n v - n r)A = ( lambda R - lambdaV)/(lambda R *lambdaV)

       = (700 -400)(69)/(700*400)= 0.074 degrees

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