A mixture of red and violet light is incident on a glass-air interface, as the d

Question

A mixture of red and violet light is incident on a glass-air interface, as the drawing shows. The indices of refraction for red and violet light in glass are nred = 1.520 and nviolet = 1.538. What color(s) of light enters the air?Choose from options below.

a)both violet and red

b)only violet

c)only red

d)neither violet nor red

A mixture of red and violet light is incident on a glass-air interface, as the drawing shows. The indices of refraction for red and violet light in glass are nred = 1.520 and nviolet = 1.538. What color(s) of light enters the air?Choose from options below. a)both violet and red b)only violet c)only red d)neither violet nor red

Explanation / Answer

Let 1 be the critical angle for red light

We know the basic formula sin1=(nair/nred)
So 1=sininverse(1/1.520)=41.1 degree

As the given incident angle is less than critical angle so red light will pass through air.

Let 2 be the critical angle for violet light

We know the basic formula sin2=(nair/nviolet)

Therefore 2=sininverse(1/1.538)=40.55 degree

As given incident angle is more than critical angle therefore Total internal reflection will take place
So violet light will not go through the air.

So option C is correct.

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