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Its about atomic structure and finding n value please help in this sum

Its about atomic structure and finding n value please help in this sum

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Grade:12

1 Answers

Arun
25750 Points
6 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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