Its about atomic structure and finding n value please help in this sum
Marmik , 7 Years ago
Grade 12
Physical Chemistry> Its about atomic structure and finding n ...
1 Answers
Arun
Last Activity: 7 Years ago
Note : nth line of Lyman series means electron jumping from (n + 1 )th orbit to 1storbit.
For an electron to revolve in (n + 1)th orbit.
2πr = (n + 1 )λ
⇒ λ = 2π / (n + 1) x r = 2π / (n + 1) [ 0.529 x 10-10] (n + 1)2 / Z
⇒ 1 / λ = Z / 2π [0.529 x 10-10] (n + 1) …(i)
Also we know that when electron jumps from (n + 1)th orbit to 1st orbit
1/ λ = RZ2 [ 1 / 12 – 1 / (n + 1)2 = 1.09 x 107Z2 [ 1 – 1 / (n + 1)2]
From (i) and (ii)
Z / 2π (0.529 x 10-10) (n + 1) = 1. 09 x 107 Z2[1 – 1 / (n + 1)2]
On solving, we get n = 24
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