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 .
III. For the line having m

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 .
III. For the line having maximum wavelength, .
IV. I.E. of H can be calculated from wave number of these lines.

Canvas Classes · Accepted Answer

Evaluating each statement:

I ✓ — As wavelength decreases,  increases, meaning  increases. As , lines converge to the series limit. ✅

II ✓ — Balmer series: transitions end at . ✅

III ✓ — Maximum wavelength = minimum  = smallest . For Balmer, minimum . ✅

IV ✗ — I.E. corresponds to  (Lyman series limit). Balmer series lines () give the energy to ionize from , not from ground state. I.E. cannot be directly calculated from Balmer lines alone without additional data. ✗

Correct statements: I, II,

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