Ask your homework questions to teachers and professors, meet other students, and be entered to win $600 or an Xbox Series X 🎉Join our Discord!

Like

Report

Numerade Educator

Like

Report

Problem 33 Hard Difficulty

A ray of light strikes the midpoint of one face of an equiangular $\left(60^{\circ}-60^{\circ}-60^{\circ}\right)$ glass prism $(n=1.5)$ at an angle of incidence of $30.0^{\circ} .$ (a) Trace the path of the light ray through the glass and find the angles of incidence and refracted at each surface. (b) If a small fraction of light is also reflected at each surface, what are the angles of reflection at the surfaces?

Answer

a. $\begin{array}{l}{\text { Using Snell's law of refraction all the refracting rays are traced and shown }} \\ {\text { in the figure attached with the solution. }} \\ {\text { Angle of incidence at the surface on the right }=30^{\circ}} \\ {\text { Angle of refraction at the surface on the right }=19.47^{\circ}} \\ {\text { Angle of incidence at the surface on the left }=40.53^{\circ}} \\ {\text { Angle of refraction at the surface on the left }=77.1^{\circ}}\end{array}$
b.$ \begin{array}{l}{\text { The angle of reflection at the right surface }=30^{\circ}} \\ {\text { The angle of reflection at the left surface }=40.53^{\circ}}\end{array}$

Discussion

You must be signed in to discuss.
Top Physics 103 Educators
LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Zachary M.

Hope College

Meghan M.

McMaster University

Video Transcript

in this problem. Ah, Ray off light strikes the one side off the surface off the equal, literal prison that strikes here and then right of facts goes here, and then it emerges out of prison. Uh, the angle it makes with prism here, which we call it a theta one, which is equal to 30 degrees. And, uh, the other angle here that we call it all for And this angle is six degrees, and this one is better. Um, this angle is in 30 in all three and angle too, is here, which is a 40.53 degrees and angle. One is here, and the moon, which is 19.40 70 degrees from snails all weaken the soulful. But here they're just times Sign that a one. There is a folder in two times, scientist too. Premiere. We know that in one is equal to their medium. Here is ah, here. Therefore they're perfecting next for the that medium. This one and for into their effectiveness is 1.5 for the glass off the prison. And that the one we have is the 30 degrees. Then we can subdue those values for the above equation. Then we can write. Sign that one s or these are 30 Parisi physical to 1.5 dime side they don't want from here they're the one will be equal Thio signed in worse off sign 30 degrees divided by 1.5. This gives us an angle one that a wonder is a part of 19.47 degrees. Then from the figure here from this figure, we can, uh, find also also will be 19 minus 19.47 degrees. And the better we can write better will be 1 80 minus 90 minus 19.47 minus 60. This gives us better 49.47 From here, we can write in. The two will be equal to 90 minus better, which is a cult of 19 minus 49.47 which uses 40.53 We apply Snell's law for a fraction off the interference on the left side of prism we're and one is equal to 1.5 and there's no one is equal to 40.53 in two is equal to one that a two intercooled 2 33 Using his left so we can find a data. Three. Is it called a sign in Warsaw for 1.5 times. Sorry, 40.53 This gives us 77.1 degrees, but be we know from the loft reflection that is angle off incident that the incident is equal to the angle off refraction reflection story at the right service than in the lawful reflection. One is 30 degrees that the left surface left surface we have that are too is equal to the two, which is about 40.5 three degrees.

Wesleyan University
Top Physics 103 Educators
LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Zachary M.

Hope College

Meghan M.

McMaster University