red light ______ angle violet light ______ angle A prism made of flint glass has

Question

red light ______ angle

violet light ______ angle

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 78.2°, determine the angle at which both colors emerge back into air after traveling through the prism. red light violet light 24156 Can you write Snell's law for both red and violet light as they travel from air and into the flint glass prism and then again as they emerge from the prism and refract in air?o Red Violet

Explanation / Answer

for red light:

for first refraction, let refraction angle be theta.

using snell’s law:

1*sin(78.2)=1.662*sin(theta)

==>theta=36.084 degrees

this is the angle made by the refracted ray with perpendicular to the surface.

then incident angle at the second surface=90-(180-(60+(90-theta)))

=23.916 degrees

let refracted angle be theta1.

using snell’s law:

1.662*sin(23.916)=1*sin(theta1)

==>theta1=42.36 degrees

for violet light:

for first refraction, let refraction angle be theta.

using snell’s law:

1*sin(78.2)=1.698*sin(theta)

==>theta=35.204 degrees

this is the angle made by the refracted ray with perpendicular to the surface.

then incident angle at the second surface=90-(180-(60+(90-theta)))

=24.796 degrees

let refracted angle be theta1.

using snell’s law:

1.698*sin(24.796)=1*sin(theta1)

==>theta1=45.41 degrees

so answers are:

red light -> 42.36 degrees

violet light -> 45.41 degrees

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