KCET2010ChemistryStructure of Atom
The wave number of the spectral line in the emission spectrum of hydrogen will be equal to 8 9 times the Rydberg's constant if the electron jumps from
Options
- An =3 to n =1
- Bn =10 to n =1
- Cn =9 to n =1
- Dn =2 to n =1
Correct answer
A. n =3 to n =1
Step-by-step solution
Wave number of spectral line in emission spectrum of hydrogen, v =R_ H ( 1 n₁² - 1 n₂² ) ...(i) Given, v = 8 9 R_ H On putting the value of v in Eq. (i), we get aligned 8 9 R _ H &= R _ H ( 1 n ₁² - 1 n ₂² ) 8 9 &= 1 (1)² - 1 n ₂² 8 9 -1 &=- 1 n ₂² 1 3 &= 1 n ₂ n ₂ &=3 aligned Hence, electron jumps from n ₂=3 to n ₁=1