Optics Homework: Solving for Refractive Index and Critical Angle

AI Thread Summary
To solve for the refractive index and critical angle in optics, the equation used is the index of refraction equals the sine of the angle of incidence divided by the sine of the angle of refraction. The angle of incidence is identified as 30 degrees, but the angle of refraction is unclear due to a lack of instruction on optics. Drawing a normal line at the point of incidence reveals that the angle of incidence is actually 60 degrees. The critical angle can be calculated using the formula μ = 1/sin(C). Understanding these concepts is essential for completing the optics homework effectively.
dinhjeffrey
Messages
30
Reaction score
0

Homework Statement



attachment.php?attachmentid=34855&stc=1&d=1303704621.jpg

#56

Homework Equations



index of refraction = sin(Θincident)/sin(Θrefraction)

The Attempt at a Solution


yeah i think Θincident is 30 degrees but i don't know how to solve for Θ of refraction. sorry, my teacher didnt teach me optics yet, and she assigned problems for hw...
 

Attachments

  • 54-58 001.jpg
    54-58 001.jpg
    21.8 KB · Views: 623
Physics news on Phys.org


If you draw a normal on ac at the point of incidence, the angle of incidence is 60 degrees. If it is the critical angle C then refractive index μ = 1/sin(C).
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...

Similar threads

Replies
1
Views
3K
Replies
2
Views
16K
Replies
11
Views
7K
Replies
7
Views
2K
Replies
3
Views
3K
Back
Top