What Is the Distance Between the Slits in Young's Double-Slit Experiment?

AI Thread Summary
In Young's double-slit experiment, the distance between the slits is calculated using the formula d sin θ = n λ, where λ is the wavelength of light (632.8 nm) and θ is the angle to the second side maximum (0.45 degrees). The calculation yields a distance d of approximately 1487.36 nm, assuming n is 2 for the second maximum. A correction is noted regarding the angle, clarifying that 0.45 degrees is not equivalent to 45 degrees. The discussion confirms the calculation method but highlights the importance of accurate angle interpretation. Accurate values are crucial for reliable results in such experiments.
Aoiumi
Messages
23
Reaction score
0

Homework Statement


When two parallel slits are illuminated with monochromatic light of wavelength 632.8 nm, the angle between the center of the central maximum and the center of the second side maximum is .45 degrees. What is the distance between the parallel slits.


Homework Equations



d sin θ = n λ



The Attempt at a Solution



d=2(632.8 nm)/sin 45 degrees

d = 1487.36 nm

My "d" value seems a bit odd, so I wanted to make sure I did this correctly. Note that I assigned "2" as the value of n because the problem said "second side maximum". Thank you.
 
Physics news on Phys.org
.45 degrees and 45 degrees are not the same thing. Apart from that (and the resulting wrong value for d), it looks fine.
 
  • Like
Likes 1 person
Okay. Thank you for the confirmation!
 

Thread 'Errors and significant figures'

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...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

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...
View full post »
Thread 'A cylinder connected to a hanging mass'

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...
View full post »

Similar threads

Thomas Young's double slit experiment
Replies
6
Views
4K
Second bright fringe in Young's Experiment
Replies
3
Views
1K
HW Question regarding double-slit interference
Replies
8
Views
2K
Thomas Young's Double-Slit Experiment Problems
Replies
1
Views
2K
Inteference Fringes of Double Slit Experiment in Water
Replies
3
Views
3K
Calculating the angle of a double-slit experiment
Replies
14
Views
6K
What are the errors in Young's Double Slit experiment?
Replies
2
Views
5K
What is the Relation Between Distance and Angle in Double Slit Interference?
Replies
5
Views
2K
Why Is the Angle 5.6° in Young's Double Slit Experiment?
Replies
1
Views
2K
Young's double slit experiment: Determine thickness of mica
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top