Question

the index of refraction for red light in water is 1.33 and that for blue light is 1.340. if a ray of white light enters the water at an angle of incidence of 83.00, what are the underwater angles of refraction

Answer 1

Step-by-step explanation:

Using Snell's law, we can calculate the angles of refraction for red and blue light separately:

For red light:

sin(theta_r) = (1.00 / 1.33) * sin(83.00) = 0.632

theta_r = sin^-1(0.632) = 39.69 degrees

For blue light:

sin(theta_b) = (1.00 / 1.340) * sin(83.00) = 0.623

theta_b = sin^-1(0.623) = 39.13 degrees

Therefore, the underwater angle of refraction for red light is approximately 39.69 degrees and for blue light is approximately 39.13 degrees.