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 65.30°, what are the underwater angles of refraction for the blue and red components of the light? (Enter your answers to at least two decimal places.)

Answer 1

Angle of refraction for red light is
`43.01^(\circ)`

Angle of refraction for blue light is
`42.68^(\circ)`

Step-by-step explanation:

It is given refractive index for red light is
`\mu _(red)=1.331`

Refractive index of blue light
`\mu _(blue)=1.340`

Angle of incidence
`i=65.30^(\circ)`

According to law of refraction
`\mu =(sini)/(sinr)`

For red light
`1.331 =(sin65.30^(\circ))/(sinr)`

`1.331 =(0.908)/(sinr)`

`sinr=0.682`

`r=43.01^(\circ)`

Therefore angle of refraction for red light is
`43.01^(\circ)`

Similarly for blue light
`1.340 =(sin65.30^(\circ))/(sinr)`

`1.340 =(0.908)/(sinr)`

`sinr=0.677`

r =
`42.68^(\circ)`

Therefore angle of refraction for blue light is
`42.68^(\circ)`