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