A prism made of flint glass has a cross section that is an equilateral triangle. The...

A prism made of flint glass has a cross section that is an equilateral triangle. The index of refraction for red and violet light respectively in flint glass is 1.662 and 1.698. If as shown in the figure, the angle of incidence in air for both colors of light is 75.1

Expert Solution

For red:

Note that from Snell's law,

n1sin(t1) = n2sin(t2)

where

n1 = index of refraction of first medium =    1
t1 = angle of incidence =    75.1   degrees
n2 = index of refraction of second medium =    1.662
t2 = angle of refraction

Thus,

t2 =    35.55285451   degrees

For the second interface,

Note that from Snell's law,

n1sin(t1) = n2sin(t2)

where

n1 = index of refraction of first medium =    1.662
t1 = angle of incidence =    24.447   degrees
n2 = index of refraction of second medium =    1
t2 = angle of refraction =

Thus,

t2 =    43.458   degrees [final angle, red]

*********************

For violet:

Note that from Snell's law,

n1sin(t1) = n2sin(t2)

where

n1 = index of refraction of first medium =    1
t1 = angle of incidence =    75.1   degrees
n2 = index of refraction of second medium =    1.698
t2 = angle of refraction =

Thus,

t2 =    34.68930693   degrees

For the second interface,

Note that from Snell's law,

n1sin(t1) = n2sin(t2)

where

n1 = index of refraction of first medium =    1.698
t1 = angle of incidence =    25.3107   degrees
n2 = index of refraction of second medium =    1
t2 = angle of refraction =

Thus,

t2 =    46.547   degrees   [final angle, violet]

**************************

The angles are

red: 43.458 degrees
violet: 46.547 degrees [ANSWERS]

genius_generous answered 2 years ago

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