Be sure to answer all parts.15Determine which of the following H atom electron transitions has the longest wavelength and which hasthe shortest wavelength:t(а) п %3D 2 to n %3 4(b) n = 4 to n = 8(c) n = 4 to n = 11(d) n = 1 to n = 8Longest-wavelength photon:abdShortest-wavelength photon:abd

Energy and wave length have inverse relationship. That means energy is less when wave length is more and energy is more when wave length is less. Wavelength of photon can be calculated by Rydberg equation. 1λ=RH1n12-1n22 where n2>n1RH=Rydberg constant=1.097×107 m-1λ=wavelengthDifference between the successive energy levels decreases as the n value increases. High energy transition is from n=1 to n=8. Hence the absorption line with shortest wavelength photon is d. Lower energy transition in the given transition is from n=4 to n=8. Hence the absorption line with longest wavelength photon is b.We can verify it by calculating the wavelength of each photon using Rydberg equation. 1λ=RH1n12-1n22 For photon a 1λ=1.097×107×122-142=2056875 m-1 λ=4.86×10-7 m For photon b 1λ=1.097×107×142-182=514218.75 m-1 λ=1.94×10-6 m For photon c 1λ=1.097×107×142-1112=594963.843 m-1 λ=1.68×10-6 m For photon d 1λ=1.097×107×112-182=10798593.75 m-1 λ=9.26×10-8 m Hence longest wavelength photon is b and shortest wavelength photon is d.