Answer:
λ = 4.46 x 10⁻⁷ m = 446 nm
Explanation:
Applying Law of Conservation of Energy in this condition, we will get the following equation:
Total Energy of Combined Photons = Energy of 1st Photon + Energy of 2nd Photon
hc/λ = hc/λ₁ + hc/λ₂
hc/λ = hc(1/λ₁ + 1/λ₂)
1/λ = 1/λ₁ + 1/λ₂
where,
λ = wavelength of combined photon = ?
λ₁ = wavelength of 1st photon = 853 nm = 8.53 x 10⁻⁷ m
λ₂ = wavelength of 2nd photon = 935 nm = 9.35 x 10⁻⁷ m
Therefore,
1/λ = 1/(8.53 x 10⁻⁷ m) + (9.35 x 10⁻⁷ m)
1/λ = (0.1172 x 10⁷ m⁻¹) + (0.1069 x 10⁷ m)
1/λ = 0.2241 x 10⁷ m⁻¹
λ = 1/(0.2241 x 10⁷ m⁻¹)
λ = 4.46 x 10⁻⁷ m = 446 nm
