In: Physics
Which spectral lines in the emission spectrum of hydrogen atoms can be observed if the atoms are excited by electrons with kinetic energy E_kin = 13.3eV?
Given that
E = 13.3 eV
we know that,
where
h - Planck's constant
c - speed of light
E - energy gap between 2 levels
- wavelength of the beam
Again, we know that, from Rydberg's formula for hydrogen atom
where - Rydberg constant
Only Lyman series lies in UV, Balmer Series is in Optical and Others are in Infrared
For Lyman Series, n1 = 1, n2 = 2,3,4,5........
n1 | n2 | in nm |
1 | 2 | 121.5 |
1 | 3 | 102.6 |
1 | 4 | 97.23 |
1 | 5 | 94.96 |
1 | 6 | 93.76 |
1 | 7 | 93.06 |
1 | 8 | 92.60 |
1 | 9 | 92.30 |
1 | 91.16 |
So, all the lines beyond L6 ie L7, L8, L9, L10 upto will be there in the emission spectrum.