A ray of light travels from air into a liquid, The ray enters the liquid at an angle of 30.0°. The angle of refraction is 22.0°. Using Snell’s law, calculate the: index of refraction of the liquid. What might the liquid be?

2 Answers
Jul 3, 2018

Here "angle of incidence" (i)=30^@angle of incidence(i)=30

"angle of refraction" (r)=22^@angle of refraction(r)=22

Then refractive index

mu=sini/sinr=sin30/sin22=1.33μ=sinisinr=sin30sin22=1.33

So the liquid is water

Jul 4, 2018

The liquid is water (H_2O)(H2O).

Explanation:

Snell's law states that:

n_1sini=n_2sinrn1sini=n2sinr

where:

  • ii is the angle of incidence

  • rr is the angle of refraction

  • n_1n1 is the refractive index of substance 11

  • n_2n2 is the refractive index of substance 22

For air, the refractive index is 11, and so:

:.sin30=n_2*sin22

n_2=(sin30)/(sin22)

~~1.33

From here, water seems to have a refractive index of 1.33, and so this liquid is water.