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CBSE Class 12-science Answered

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Asked by mahesh.h.s2003 | 21 Oct, 2020, 08:30: PM
answered-by-expert Expert Answer
Lyman series is given as
 
begin mathsize 14px style 1 over lambda space equals space R space open parentheses 1 over 1 squared space minus space 1 over n squared close parentheses space comma space n space equals space 2 comma 3 comma 4.... e t c end style
for first member n = 2 , λ = 1216 Ao , we get Rydberg constant R as
 
 R = (4/3) × ( 108 / 1216 ) = 1.096 × 105 m-1 
 
Balmer series is given as
 
begin mathsize 14px style 1 over lambda space equals space R space open parentheses 1 over 2 squared space minus space 1 over n squared close parentheses space comma space n space equals 3 comma 4 comma 5.... e t c end style
for 3rd member ,  n = 5 
 
Hence wavelength of 3rd member is obtained as
 
λ = (100/21) × ( 1 / 1.096 × 105 ) = 4.345 × 10-5 m = 0.434 μm
 
 limit of Balmer series is obtained by substituting n = begin mathsize 14px style infinity end style in Balmer series formula .
 
λ  = 4/ R = 4 × 10-5  / 1.096 = 3.65 × 10-5 m
Answered by Thiyagarajan K | 22 Oct, 2020, 06:27: PM

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