Find Distance from Screen to Slits in Double Slit Experiment

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SUMMARY

The discussion focuses on calculating the distance from the screen to the slits in a double slit experiment using the equations y = L*tan(theta) and m*(lambda) = d*sin(theta). The wavelength (lambda) is specified as 640 nm (6.4x10^-4 mm), and the slit separation (d) is given as 0.25 mm. The angle (theta) is calculated to be 0.15 degrees. The user expresses uncertainty about the correct value of y, which represents the distance between the maxima, and seeks clarification on interpreting the provided graph.

PREREQUISITES
  • Understanding of the double slit experiment and its principles
  • Familiarity with trigonometric functions, specifically tangent
  • Knowledge of wave properties, particularly wavelength and interference patterns
  • Ability to interpret graphical data in physics contexts
NEXT STEPS
  • Review the derivation of the double slit interference formula
  • Learn how to accurately measure distances on graphs
  • Explore the impact of varying slit separation on interference patterns
  • Study the relationship between angle and distance in wave phenomena
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.

rocapp
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Homework Statement


See attached image


Homework Equations



y=L*tan(theta)
m*(lambda)=d*sin(theta)

The Attempt at a Solution


Lambda = 640 nm = 6.4x10^-4 mm

m*(lambda)=d*sin(theta)

1*(6.4x10^-4 mm) = (0.25 mm)*sin(theta)

theta = 0.15 degrees

y = L*tan(theta)

This is where I am not sure. I know I need to plug in y and theta. But I think my y value is wrong. How can I know for sure what the distance between the maxima are? The graph that is given seems to be too poor to tell.
 

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rocapp said:
This is where I am not sure. I know I need to plug in y and theta. But I think my y value is wrong. How can I know for sure what the distance between the maxima are? The graph that is given seems to be too poor to tell.
The diagram seems clear enough to me. Hint: The distance of 2.0 cm seems to be exactly between which two maxima? (Don't think you need to use m = 1.)
 

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