The index of refraction for a certain type of glass is 1.645 for blue light and...

The index of refraction for a certain type of glass is 1.645 for blue light and 1.607 for red light. When a beam of white light (one that contains all colors) enters from air a plate of this glass at an incidence angle of 40.05

Expert Solution

For BLUE:

Note that from Snell's law,

n1sin(t1) = n2sin(t2)

where

n1 = index of refraction of first medium =    1
t1 = angle of incidence =    40.05   degrees
n2 = index of refraction of second medium =    1.645
t2 = angle of refraction

Thus,

t2blue =    23.02660888   degrees

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 =    40.05   degrees
n2 = index of refraction of second medium =    1.607
t2 = angle of refraction

Thus,

t2red =    23.60369513   degrees

Thus, the difference between them is

t2red - t2blue = 0.5771 degrees [ANSWER]

genius_generous answered 2 hours ago

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