The energy levels of the electron in a hydrogen atom are characterised by a quan- tum...

Transcribed Image Text:

The energy levels of the electron in a hydrogen atom are characterised by a quan- tum number n: En hcR where his Planck's constant, c is the speed of light and R is the Rydberg constant. (a) State a formula that relates the wavelength of light A to h, c and E which is the energy of a photon. (b) Let p and q be the quantum numbers of the upper and lower energy levels of an electron transition in hydrogen. Find a formula that relates the wavelength of light emitted in such transitions to p and q. (c) For each of the three hydrogen emission line sets shown in the table below, identify the quantum number of its lower energy level q. Each set (column) of five emission lines has the same lower energy level. The first column shows the quantum number of the upper energy level q relative to the lower level. Set-A Set-B Set-C A [nm] A[nm] A[nm] q+1 121.57 4051 7460 9+2 102.57 2625 4654 9+3 97.254 2166 3741 9+4 94.974 1944 3297 9+5 93.780 1817 3039 You may assume that p < 6 and R 10973731.6m [1] [2] Hi The energy levels of the electron in a hydrogen atom are characterised by a quan- tum number n: En hcR where his Planck's constant, c is the speed of light and R is the Rydberg constant. (a) State a formula that relates the wavelength of light A to h, c and E which is the energy of a photon. (b) Let p and q be the quantum numbers of the upper and lower energy levels of an electron transition in hydrogen. Find a formula that relates the wavelength of light emitted in such transitions to p and q. (c) For each of the three hydrogen emission line sets shown in the table below, identify the quantum number of its lower energy level q. Each set (column) of five emission lines has the same lower energy level. The first column shows the quantum number of the upper energy level q relative to the lower level. Set-A Set-B Set-C A [nm] A[nm] A[nm] q+1 121.57 4051 7460 9+2 102.57 2625 4654 9+3 97.254 2166 3741 9+4 94.974 1944 3297 9+5 93.780 1817 3039 You may assume that p < 6 and R 10973731.6m [1] [2] Hi