The formula for fringe width is β = λD/d, where λ is wavelength, D is the distance from slits to screen, and d is the separation between slits.
Detailed Explanation:
The mathematical expression breaks down as:
- β = fringe width
- λ = wavelength of light used
- D = distance between the double slit and observation screen
- d = distance between the two slits
This relationship shows that fringe width increases with:
- Longer wavelengths (red light produces wider fringes than blue)
- Greater screen distance
- Smaller slit separation
Key Takeaways:
- Formula: β = λD/d
- Directly proportional to wavelength and screen distance
- Inversely proportional to slit separation
- Used extensively in wave optics experiments