Which spectral lines in the emission spectrum of hydrogen atoms can be observed if the atoms...

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?

Solutions

Expert Solution

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.

genius_generous answered 1 year ago

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