JIPMER2009ChemistryStructure of Atom
What is the wave number of 4^ th line in Balmer series of hydrogen spectrum? (R=1,09,677 ~cm ⁻¹ . )
Options
- A24,630 ~cm ⁻¹
- B24,360 ~cm ⁻¹
- C24,730 ~cm ⁻¹
- D24,372 ~cm ⁻¹
Correct answer
D. 24,372 ~cm ⁻¹
Step-by-step solution
v =R ( 1 n₁^2 - 1 n₂^2 ) For Balmer series n₁=2 and for 4^ th line in Balmer series n₂=6 aligned R & =109677 ~cm ⁻¹ v & =109677 ( 1 2^2 - 1 6^2 ) & =109677 ( 1 4 - 1 36 ) v & =24,372 ~cm ⁻¹ aligned