Answered

What is the critical angle of a diamond having a refractive index of 2.42? Use air as the second medium. Air has the refractive index 1.00.

A14.9°

B.24.4°

C.36.6°

D.40.9°

Verified Answer :

meerkat18

Given:
refractive index: diamond = 2.42 ; air = 1

90° should have been provided in the problem. I encountered similar problem before. 

Using Snell's Law: n1sin(a) = n2sin(b)
where:
n1 and n2 are the refractive indexes
sin(a) and sin(b) are the corresponding angles.

n1 = 2.42
n2 = 1.00
b = 90°

n1 sin(a) = n2 sin(b)
2.42 sin(a) = 1 1
2.42 * sin(a) = 1
sin(a) = 1 / 2.42
sin(a) = 24.4°  Choice B.

Answer:

B.24.4

Explanation:

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