Question

5. [-/2 Points] DETAILS SERCP11 22.4.P.029. MY NOTES ASK YOUR TEACHER ray of white light enters the water at an angle of incidence of 55.95º, what are the underwater angles of refraction for the blue and red components of the light? (Enter your answers The index of refraction for red light in water is 1.331 and that for blue light is 1.340. If to at least two decimal places.) (a) blue component o (b) red component

Answer 1

Using Snell's Law, the underwater angles of refraction for the blue and red components of the light are calculated as 38.10 degrees and 38.27 degrees respectively.

Step-by-step explanation:

The underwater angles of refraction for the blue and red components of the light can be calculated using Snell's Law which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the refractive indices of the media (air and water in this scenario).

So, for blue light, the angle of refraction can be calculated as follows: sin(r) = sin(i)/n where i is the angle of incidence, n is the refractive index, and r is the angle of refraction. Substituting the given values, we get sin(r_blue) = sin(55.95)/1.340. Solving this gives r_blue = 38.10º .

Similarly, for red light, sin(r_red) = sin(55.95)/1.331. Solving this gives r_red = 38.27º.

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