So as a viewer, assuming that the two soap films are of the same thickness, the interference patterns produced are different due to the fact that glass has a higher refractive index... Meaning that there is a phase change in case one and the resulting interference pattern is different than in...
Homework Statement
Would you see the same thin film interference pattern in a film of soap surrounded by air and a film of soap on glass? Why or why not?
Homework Equations
None
The Attempt at a Solution
Yes, you would see the same thin film interference pattern in a film of soap surrounded...
Oh, yes, you're right... It should be destructive because they would add to zero/cancel out.
You cannot get bands with a film of homogeneous thickness. We know that Film X is of a consistent thickness because it appears uniformly green to the viewer.
Therefore, if I'm not misunderstanding...
Okay. So upon graphing the examples again with (A) at nearly zero, it seems that (A) and (B) form almost identical graphs... Should this be happening? I feel like I'm still doing something wrong.
Okay. Thank you both for your responses! :smile:
I'm still a bit confused about the wording in the problem's answer. If, for example, "much less than λ" was ½λ in this case, wouldn't (A) then produce the same result as (B)?
The bright bands are formed by constructive interference between the...
Oh, man... :doh: Seeing all these decimal errors I'm realizing it's really time for me to sleep... Haha.
Thank you again for all your help Charles! You've been a lifesaver today! :smile:
Oh, I see. I did the conversion to micrometers wrong... Part (b) should actually be 5.7 μm.
And for part (a), I recalculated using mλ = dsinθ, and I got 5.21 × 10-5 m, or 5.21 μm.
Homework Statement
A double slit apparatus is held 1.2 m from a screen.
(a) When red light (λ = 600 nm) is sent through the double slit, the interference pattern on the screen shows a distance of 12.5 cm between the first and tenth dark fringes. What is the separation of the slits?
(b) What...
Homework Statement
A diffraction grating gives a second-order maximum at as angle of 31° for violet light (λ = 4.0 × 10^2 nm). If the diffraction grating is 1.0 cm in width, how many lines are on this diffraction grating?
Homework Equations
d = (m)(λ)/sinθm
The Attempt at a Solution
d =...