Find the two maxima for a double grate diffraction

  • Thread starter Thread starter DODGEVIPER13
  • Start date Start date
  • Tags Tags
    Diffraction Maxima
AI Thread Summary
The discussion focuses on solving a physics problem involving two diffraction gratings, A and B, with different slit separations. The first-order maximum of grating A corresponds to the second-order maximum of grating B, leading to the conclusion that the ratio of their slit separations is dB/dA = m2/m1 = 2. The user successfully completed part a but is seeking assistance with part b, which involves identifying the next two principal maxima of grating A and the corresponding maxima of grating B. The problem requires applying the diffraction equation to find these maxima based on their order numbers. The conversation highlights the need for clarification on the calculations for part b.
DODGEVIPER13
Messages
668
Reaction score
0
θ

Homework Statement


Two gratings A and B have slits separations dA and dB, respectively. They are used with
the same light and the same observation screen. When grating A is replaced with grating B, it is
observed that the first-order maximum of A is exactly replaced by the second-order maximum
of B.
a) Determine the ratio dB/dA of the spacings between the slits of the gratings.
b) Find the next two principal maxima of grating A and the principal maxima of B that
exactly replace them when the gratings are switched. Identify these maxima by their order
numbers.
2


Homework Equations


dasin(θ) = m1λ
dbsin(θ) = m2λ

The Attempt at a Solution


I just divided the two equations and got db/da =
m2/m1 = 2.
 
Physics news on Phys.org
Can someone please help me I have done part a I am just struggling with b
 
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