Question

A ray of light traveling in water is incident on its surface open to air. The angle of incidence is θ, which is less than the critical angle. Then there will be(a) only a reflected ray and no refracted ray(b) only a refracted ray and no reflected ray(c) a reflected ray and a refracted ray and the angle between them would be less than 180°–2θ(d) a reflected ray and a refracted ray and the angle between them would be greater than 180°–2θ

Answer 1

(b) only a refracted ray and no reflected ray

Answer 2

Answer:

C)  a reflected ray and a refracted ray and the angle between them would be less than 180°–2θ

Explanation:

When a ray of light travels from optically denser to a rarer medium, it shifts away from the normal. The angle of reflection becomes equal to the angle of incidence. When light incidence from one medium to another, some light refracts, some reflects and some may get absorbed when the angle of incidence will be less than the critical angle.

Thus, the angle formed between the reflected and refracted ray is 90-θ+90-θ = 180 - (θ+θ')

But since, θ'>θ then the angle between them will be 180-θ. Thus the angle between them would be less than 180°–2θ