Bohr S Model For Hydrogen Atom

Step 1: Recall the Balmer Series Formula

The Balmer series describes transitions to in the hydrogen atom. The wavelength of emitted light is given by:

$ $

Where:

= Wavelength of emitted light

R = Rydberg constant

n₁ = Lower energy level ( for the Balmer series)

n₂ = Higher energy level ( )

Step 2: Match Wavelengths

Using known values of wavelengths for each transition:

: 656.3 nm → (A-III)

: 486.1 nm → (B-IV)

: 434.1 nm → (C-II)

: 410.2 nm → (D-I)

Step 3: Conclusion

The correct matching is:

A-III

B-IV

C-II

D-I