• Support PF! Buy your school textbooks, materials and every day products Here!

Angle of refraction

  • Thread starter aurao2003
  • Start date
  • #1
126
0

Homework Statement



Hi
I have this little problem bothering. The question goes like this:
A ray enters an equilateral glass prism of refractive index 1.55 at the midpoint of one side of the prism at an angle of inceidence of 35 degrees.
a. Sketch this arrangement and show that the angle of refraction of the light ray in the glass is 22 degrees.
b. Show that the angle of incidence where the light ray leaves the glass prism is 38 degree.
c. Calculate the angle of refraction of the light ray where it leaves the prism.


Homework Equations


n= Sin i/Sin r



The Attempt at a Solution



I am able to do a. For b this is my working:
1.55=Sin i/Sin 22

But I obtained 35.5 degrees. Can anyone please explain where I am going wrong?
Thanks.
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
25,832
249
hi aurao2003! :smile:

A ray enters an equilateral glass prism …

b. Show that the angle of incidence where the light ray leaves the glass prism is 38 degree.
c. Calculate the angle of refraction of the light ray where it leaves the prism.

For b this is my working:
1.55=Sin i/Sin 22
erm :redface: … you've misread the question, and probably not drawn the diagram …

b is just geometry … the angle of incidence where the light ray leaves the prism is the angle before it leaves (that's what "incidence" means! :wink:), and you should be able to show that that is 38° …

(and you don't use the sine formula until c)
 
  • #3
126
0
Hi
I am trying to do the geometry but its eluding me.:cry: Sorry for being slow. But all my A level subjects are self taught. I have got it now. Thanks.
I am doing Maths, Physics and Further Maths!
 
  • #4
tiny-tim
Science Advisor
Homework Helper
25,832
249
use the theorem that the external angle of a triangle equals the sum of the two opposite internal angles (alternatively, just use the sum of the internal angles equals 180°) :smile:
 
  • #5
tiny-tim
Science Advisor
Homework Helper
25,832
249
perhaps you're not drawing the correct triangle?

draw a line from the bottom right corner to the midpoint of the left side …

then draw the ray: it makes a 35° angle to this line in the air, and a 22° angle through the glass, and hits the bottom of the triangle

you've now two triangles at the bottom of the original triangle: use the 180° rule to find the angle between the ray and the bottom side …

what do you get? :smile:
 

Related Threads for: Angle of refraction

  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
5K
  • Last Post
Replies
4
Views
1K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
11
Views
4K
Replies
1
Views
6K
Top