Finding the separation of two slits

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SUMMARY

The discussion focuses on determining the value of m in the context of the double-slit experiment, specifically when calculating the positions of bright fringes using the equation y_m = m(λL/d). Participants clarify that m = 1 was used to find the distance between adjacent bright fringes, which is given as 4 mm. The relationship between consecutive bright fringes is established through the equations y_m and y_{m+1}, leading to the conclusion that the distance between these fringes can be derived by subtracting the two equations.

PREREQUISITES
  • Understanding of the double-slit experiment
  • Familiarity with wave interference patterns
  • Knowledge of the equation y_m = m(λL/d)
  • Basic algebra for manipulating equations
NEXT STEPS
  • Research the derivation of the double-slit interference formula
  • Learn about the significance of the wavelength (λ) in interference patterns
  • Explore the impact of slit separation (d) on fringe spacing
  • Investigate experimental setups for measuring fringe distances
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics and interference, as well as educators seeking to clarify concepts related to the double-slit experiment.

asilvester635
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Homework Statement


How do I know what value of m to use when using the equation? Here we had to use m = 1 to find the answer.

Please refer to part 3 for the problem statement.

Homework Equations


Please refer to part 3 for the relevant equations.

The Attempt at a Solution


Exam 1.jpeg
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The formula gives you the location of the bright fringes. You are given the distance between consecutive friges, not the position of a particular one.
 
asilvester635 said:

Homework Statement


How do I know what value of m to use when using the equation? Here we had to use m = 1 to find the answer.

Please refer to part 3 for the problem statement.

Homework Equations


Please refer to part 3 for the relevant equations.

The Attempt at a Solution


View attachment 223112 [/B]
"Adjacent bright fringes are 4 mm apart" means that the the distance between the m+1-th bright fringe and the m-th one is 4 mm.
## y_m =m \frac{λL}{d}## and
##y_{m+1} =(m+1) \frac{λL}{d}##
and ##y_{m+1}-y_m= 4 mm##
Subtract the firs equation from the second one, what do you get?
 

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