Dark fringes for single-slit diffraction

AI Thread Summary
The discussion focuses on calculating the number of dark fringes produced in a single-slit diffraction pattern when light with a wavelength of 651 nm passes through a slit that is 5.47x10^-6 m wide. The formula used is sin(theta) = m * wavelength / w, where 'm' represents the order of the dark fringe. Participants suggest finding theta for increasing values of 'm' until the calculation is no longer valid. This approach will determine the total number of dark fringes on either side of the central maximum. The discussion emphasizes the mathematical method for deriving the dark fringe positions in the diffraction pattern.
golriz
Messages
43
Reaction score
0
How many dark fringes will be produced n either side of the central maximum if light (its wavelength is 651 nm ) is incident on a single slit that is 5.47x10^-6 m wide?


sin (theta) = m.wavelength/w
 
Physics news on Phys.org
Looks good. Find theta when m = 1. Then for m = 2, and so on until it doesn't work anymore.
 
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...
Back
Top