Question

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the ray of light in air hits the surface of water (n=1.33) at an angle of 23° what is the angle of the light in 2) Light goes from glass (n-1.5) to plastic (n-1.4). What is the critical angle for total internal reflection? 3) If light travels in glass (n-1.5) which is surrounded by air (n- 1) and hits the glass/air surface at an angle of 44, does it go into the air? If so, what is the angle? If not, what does it do and why?

Answer 1

1.)

By snell's law,

n1*sin(x1) = n2*sin(x2)

here, n1 = refractive index of air = 1

x1 = angle of incidence = 23 deg

n2 = refractive index of water = 1.33

x2 = angle of refraction in water = ??

So,

1*sin(23 deg) = 1.33*sin(x2)

x2 = arcsin[sin(23 deg)/1.33]

x2 = 17.08 deg

2.)

Since when total internal reflection occurs then

angle of refraction is equals to 90 deg

So, by snell's law,

n1*sin(x1) = n2*sin(90 deg)

here, n1 = 1.5 ; n2 = 1.4

x1 = critical angle = ??

So, 1.5*sin(x1) = 1.4*1

sin(x1) = 1.4/1.5

x1 = arcsin(1.4/1.5)

x1 = 68.96 deg

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