Question

diamond is immersed in a liquid with a refractive index greater than water. Then the critical angle for total internal reflection will ​

Answer 1

Explanation:

Given : n

a

=1.00 n

d

=2.42

For total internal reflection to occur, the incidence angle must be greater than the critical angle.

Critical angle of diamond θ=sin

−1

(

n

d

n

a

) =sin

−1

(

2.42

1.00

)=24

o

Thus the smallest angle for total internal reflection to occur in diamond is 24

o

.

Answer 2

Given:

The refractive index of liquid > refractive index of water

To find:

Critical angle for total internal reflection.

Solution:

Since, the index of refraction of diamond is = 2.42

Let the refractive index of liquid = n

Critical angle of diamond = α = sin(-1) (2.42/n)

Since the refractive index of liquid is not given here, one can put the value of n as given in the question.

Therefore, the critical angle for total internal reflection is sin(-1) (2.42/n).