How Does Light Refraction Affect Displacement in a Glass Medium?

AI Thread Summary
Light refraction in a glass medium causes a displacement when a ray of light transitions from one medium to another. The discussion revolves around deriving the formula d = t*sin(theta1)*(1 - (n1*cos(theta1) / n2*cos(theta2))). Participants emphasize the importance of drawing a diagram to visualize the angles and the relationship between the incident and refracted rays. Understanding the parallel nature of the incident and final refracted rays is crucial for solving the problem. Ultimately, the discussion highlights the role of trigonometry in connecting the angles and calculating the displacement.
Pixter
Messages
29
Reaction score
0
Okej have a piece of glass with refractive index n2 and tickness t.

A ray of light falls on the glass with the angle theta1 (from a medium with recrative index n1).

In the glass the ray has the angle theta2 and when it exits it has now got the displacement d (compared with the ray that went from air to glass).

Now show that the formula d=tsin(theta1)(1-(n1cos(theta1) / n2cos(theta2)) is correct.

I know it is suppose to be simple trig, but the only thing i can even figure out to do is that 90-theta1 = theta ... then I'm stuck.. can't see how to connect anything. please give me some hints.
 
Last edited:
Physics news on Phys.org
Have you drawn a diagram? Hint: the incident ray and the the final refracted ray should be parallel.
 
Hootenanny said:
Have you drawn a diagram? Hint: the incident ray and the the final refracted ray should be parallel.

yeah they are parallel of course.. but just finding the displacement of them..

have done a diagram as well. but as I said I can't figure out what to start with. can't see the trig stuff in it =(
 
Hootenanny said:
Have you drawn a diagram? Hint: the incident ray and the the final refracted ray should be parallel.
Oki done it know.. and it made perfect sense..=)
 
Last edited:
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 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
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

Back
Top