Maximum Bright Fringes for Double Slit Experiment

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SUMMARY

The maximum number of bright fringes that can be formed on either side of the central bright fringe in a double slit experiment with a light wavelength of 644 nm and a slit separation of 3.64 × 10-6 m is 5.65, which rounds down to 5 bright fringes. The calculation is based on the formula m = dsin(θ)/λ, where m represents the fringe order. The discussion clarifies that the 6th fringe cannot form as sin(θ) would exceed 1, confirming that only 5 fringes are observable.

PREREQUISITES
  • Understanding of the double slit experiment
  • Familiarity with wave optics and interference patterns
  • Knowledge of the equation m = dsin(θ)/λ
  • Basic trigonometry, particularly the sine function
NEXT STEPS
  • Research the implications of slit width on interference patterns
  • Study the concept of fringe visibility in wave optics
  • Learn about the limitations of the double slit experiment in practical applications
  • Explore advanced topics in wave interference, such as diffraction patterns
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Students studying physics, particularly those focusing on wave optics, as well as educators and anyone interested in the principles of light interference and the double slit experiment.

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Homework Statement


At most, how many bright fringes can be formed on either side of the central bright fringe when light of wavelength 644 nm falls on a double slit whose slit separation is 3.64 × 10-6 m?

Homework Equations


m=dsintheta/lamdba

The Attempt at a Solution


m=(3.64x10e-6)(1)/644x10e-9) = 5.65 which is 6 bright fringes right but the system telling me it's wrong?[/B]
 
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What is the width of each slit? Without this information your question cannot be answered.
 
That's the full question.
 
Starrrrr said:

Homework Statement


At most, how many bright fringes can be formed on either side of the central bright fringe when light of wavelength 644 nm falls on a double slit whose slit separation is 3.64 × 10-6 m?

Homework Equations


m=dsintheta/lamdba

The Attempt at a Solution


m=(3.64x10e-6)(1)/644x10e-9) = 5.65 which is 6 bright fringes right but the system telling me it's wrong?[/B]
Can the 6th fringe form?
 
ehild said:
Can the 6th fringe form?
I'm not sure so I'm guessing no
 
Starrrrr said:
5.65 which is 6 bright fringes
Last time I checked, 5.65<6.
 
Starrrrr said:
I'm not sure so I'm guessing no
What would be sin(θ) at the 6th fringe? Is it possible?
 
The brightness fringe should not be rounded from the equation. so yes the answer from the equation is 5.65. Which makes the greatest fringe 5 not 6.
 

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