Question

An atomic lamp is often used as a calibration source for spectrometers because the spectral emission lines are well defined and spaced such that they are easy to identify. An electric current is used to excite the valence electrons to excited states from which they decay to the ground state emitting photons. For the hydrogen atom, calculate the wavelength (in nm) of the first five lines in increasing wavelength fpr nf=2, nf=3, nf=4, nf=5 and nf=6

Answer 1

Wavelength û given by F = RH 1 12 I ni ng ² where RHF 1.098 to 7 niz initial conditions or position final position (1) for ni= nf=2 nf= 1.09x109 [ 에서 22 d= - 7 1.22 x 10 m Cl3 ni=g n = 3 / - 109x107 32 H= 6o6lxi5tm Ez!le hehe to x 50.1 = 7 [=173 - 28 7 1 ta 1 32 1.89 x 10 m ni = 4 nf=5 7 = 10gx10 [ 1 4 2 - 1 H= 6.08x106m 52 ni = 5 nf= 6 t 7 = 1.09x107 ( 1/4s - 2 / >11-7.51X1om