For the Balmer series, in the spectrum of H atom, , the correct statements among (I) to (IV) are:

(I) As wavelength decreases, the lines in the series converge.
(II) The integer is equal to 2.
(III)

Question

For the Balmer series, in the spectrum of H atom, , the correct statements among (I) to (IV) are:

(I) As wavelength decreases, the lines in the series converge.
(II) The integer  is equal to 2.
(III) The lines of the longest wavelength correspond to .
(IV) The ionization energy of hydrogen can be calculated from the wave number of these lines.

Canvas Classes · Accepted Answer

Evaluate each statement for Balmer series:

(I) ✓ As wavelength decreases (wavenumber increases), lines converge toward the series limit.

(II) ✓ For Balmer series,  (transitions end at n=2).

(III) ✓ Longest wavelength = smallest energy gap =  (transition 3→2).

(IV) ✗ Ionization energy of H requires knowing the energy to remove electron from n=1. Balmer series gives energies for transitions to n=2, not n=1. You cannot directly calculate IE from Balmer lines alone without extrapolation.

Correc

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