- #1
thezac11
- 10
- 0
Homework Statement
Use the formula: n=(sin(A+D)/2)/(sin(A)/2) to find D for an equilateral prism of index of refraction n=1.50
(where A=apex angle for a prism=60 degrees in this case, and D=minimum angle of deviation)
Homework Equations
Snell's Law: (n1)sin(i)=(n2)sin(r) , but i don't think this equation is needed for this problem.
The Attempt at a Solution
This is what I've got, but I know it is not completely correct. Any help would be greatly appreciated:
1.5=(sin(60+D)/2)/(sin(60)/2)
----> cancel the 2's and imput sin(60)cos(D)+cos(60)sin(D) for sin(60+D)
1.5=(sin(60)cos(D)+cos(60)sin(D))/(sin(60))
----> multiply numerator and denominator by cos(D)
1.5=(sin(60)cos(D)+cos(60)sin(D)cos(D))/(sin(60)cos(D))
----> cancel sin(60)cos(D) from numerator and denominator
1.5=cos(60)sin(D)cos(D)
1.5=(0.5)sin(D)cos(D)
3=sin(D)cos(D)
3=(0.5)(2sin(D)cos(D))
3=(0.5)sin(2D)
6=sin(2D)
?