YDSE — Monochromatic vs White LightMediumQuestion 20253
Question
In YDSE with white light, a bright fringe of wavelength λ₁ at order n₁ coincides with a bright fringe of λ₂ at order n₂ when:
- Aλ₁/λ₂ = n₂/n₁
- Bλ₁n₁ = λ₂n₂Correct
- Cn₁/n₂ = λ₁/λ₂
- DBoth n₁ = n₂ and λ₁ = λ₂
Correct answer
λ₁n₁ = λ₂n₂
Explanation
Position of bright fringe: y = nλD/d. For two wavelengths to coincide: n₁λ₁D/d = n₂λ₂D/d → n₁λ₁ = n₂λ₂. This gives missing orders and spectral overlaps in gratings.