What is the Phase Difference between Two Interfering Light Rays?

  • Thread starter Thread starter Funktimus
  • Start date Start date
  • Tags Tags
    Interference
AI Thread Summary
The discussion focuses on calculating the phase difference between two light rays traveling from point A to point B, with one ray reflecting off a surface at a 60-degree angle. The initial attempt at a solution incorrectly included the angle between the rays as part of the phase difference. The correct approach emphasizes that the phase difference is determined by the difference in path length traveled by the two rays, which is calculated to be 3(lambda)/4. The reflection creates an equilateral triangle, leading to a revised path length for the second ray. Understanding the concept of phase difference is crucial for accurately solving the problem.
Funktimus
Messages
13
Reaction score
0

Homework Statement



Consider two light rays propagating from point A to point B in the figure, which are 3(lambda)/4 apart. One ray follows a straight path, and the other travels at a 60 degree angle to that path and then reflects off a plane surface to point B. Both rays have wavelength lambda. View Figure

105316D.jpg


Find the phase difference between these two rays at point B. Answer in terms of pi.

Homework Equations



No equations were provided. But according to my handy textbook:

Phase Difference = 2(pi)(change in x)/(lambda) + change in initial phase

The Attempt at a Solution



(Phase Difference) = 2(pi)[3lambda/4lambda] + (60 degrees * 2pi/360 degrees)
= 1.83pi

any ideas?
 
Physics news on Phys.org
first of all u haven't understood really what phase difference is...
it has nothing to od with angle between the rays...
study some more about phase difference articls on net or yourhandy textbook
so 60 is not initial phase diff
as initial is not given we can take it as zero is uppose
next
change in x is difference in path traveled by the two rays...
here 1 ray travels 3lambda /4
now find the path traveled by the other ray by considering the triangle and laws of reflection
i =r

you will find the triangle to be equilateral
so change in x = 2X 3lambda/4 - 3lambda/4=3lambda/4
now put in your eqn
you will find the ans
i hope no problems...but you got some conceptual probs go figure them out:biggrin:
 
Thanks for the help. I'll definitely have to look over the inherent phase difference information in my book.
 
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 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'
Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is(Figure 2): F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
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...
Back
Top