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Light propagating in air strikes the surface of a lake. The reflected ray makes 62° angle with the normal. What angle does the refracted ray in the water makes with the normal. (Hint: index of refraction for water 1.33) (a) 42° (b) 48° (c) 54° (d) 58°

Respuesta :

Answer:

(a) 42°

Explanation:

According to the law of reflection:

Angle of incidence = Angle of reflection

So, angle of reflection = 62°

Angle of incidence = 62°

For refraction,

Using Snell's law as:

[tex]n_i\times {sin\theta_i}={n_r}\times{sin\theta_r}[/tex]

Where,  

[tex]{\theta_i}[/tex]  is the angle of incidence  ( 62.0° )

[tex]{\theta_r}[/tex] is the angle of refraction  ( ? )

[tex]{n_r}[/tex] is the refractive index of the refraction medium  (water, n=1.33)

[tex]{n_i}[/tex] is the refractive index of the incidence medium (air, n=1)

Hence,  

[tex]1\times {sin62.0^0}={1.33}\times{sin\theta_r}[/tex]

Angle of refraction = [tex]sin^{-1}0.6639[/tex] = 42°