Question

The index of refraction for red light in water is 1.331, and that for blue light is 1.340. If a ray of white light enters the water at an angle of incidence of 83.00o , what are the underwater angles of refraction for the blue and red components of the light

Answer 1

The underwater angles of refraction for the blue and red components of the light is 47.8° and 48.2°

Step-by-step explanation:

Using the Snell's law

n1 * sin Ф1 = n2 sin Ф2

1 * sin 83 = n2 sin Ф2

Ф2 =
`sin^(-1) ((1)/(n2) * sin 83)`

Red light

n2 = 1.331

Ф2 =
`sin^(-1) ((1)/(1.331) * sin 83) = 48.2`°

Blue light

n2 = 1.340

Ф2 =
`sin^(-1) ((1)/(1.340) * sin 83) = 47.8`°