**Problem 10: Double-Slit Interference with Two Wavelengths**A light source emits visible light of two wavelengths: λ = 400 nm and λ' = 500 nm. The source is used in a double-slit interference experiment in which the distance between the slits and the screen is \( L = 1.1 \, \text{m} \) and the spacing between the two slits is \( d = 1 \, \text{mm} \).**a) Separation Distance Calculation**Find the separation distance between the third-order bright fringes for the two wavelengths. Do not use the small angle approximation.**b) Overlapping Fringes Exploration**Examine the entire interference pattern due to the two wavelengths and look for overlapping fringes. Are there any locations on the screen where the bright fringes from the two wavelengths overlap exactly?

Given: Wavelength λ=400 nm and λ1=500 nm The length between the slits and the screen, L = 1.1 m…

10. A light source emits visible light of two wavelengths: A = 400 nm and A' = 500 nm. The source is used in a double-slit interference experiment in which the length between the slits and the screen is L = 1.1 m and the spacing between the two slits is d = 1 mm. a) Find the separation distance between the third-order bright fringes for the two wavelengths. Do not use the small angle approximation. b) What if we examine the entire interference pattern due to the two wavelengths and look for overlapping fringes? Are there any locations on the screen where the bright fringes from the two wavelengths overlap exactly?

10. A light source emits visible light of two wavelengths: A = 400 nm and A' = 500 nm. The source is used in a double-slit interference experiment in which the length between the slits and the screen is L = 1.1 m and the spacing between the two slits is d = 1 mm. a) Find the separation distance between the third-order bright fringes for the two wavelengths. Do not use the small angle approximation. b) What if we examine the entire interference pattern due to the two wavelengths and look for overlapping fringes? Are there any locations on the screen where the bright fringes from the two wavelengths overlap exactly?