Hydrogen Spectrum: Lyman, Balmer and Other Series (Visible Region)

Chemistry · Structure Of Atom · NEET

When an electron in a hydrogen atom jumps from a higher energy level to a lower one, it gives out light. These light lines are grouped into series by the level the electron lands on. The series that ends at n=2 is the Balmer series, and it is the ONLY series that our eyes can see (visible region). Memory hook: "BalmVR" = Balmer, Visible, ends at 2. The one that lands on the second floor is the one you can see.
Hydrogen Spectrum: Electron Jumps and Series n=4 n=3 n=2 n=1 Lyman (UV) Balmer (Visible) Paschen (IR)
Electrons falling to n=1 give the Lyman series (UV), to n=2 give the Balmer series (visible, the only series we can see), and to n=3 give the Paschen series (IR).

Your doubts, answered

Which series of the hydrogen spectrum is in the visible region?

Only the Balmer series is in the visible region. In the Balmer series, the electron falls from a higher level (n = 3, 4, 5, ...) down to n = 2. Lyman series falls to n = 1 and is in the ultraviolet (UV). Paschen, Brackett and Pfund fall to n = 3, 4, 5 and are in the infrared (IR). NEET loves this exact fact.

What is the difference between the Lyman and Balmer series?

Both are line series in the hydrogen spectrum, but they differ by where the electron lands. Lyman series: electron ends at n = 1, region is UV, so we cannot see it. Balmer series: electron ends at n = 2, region is visible, so we can see it. Simple rule: land on 1 = UV (Lyman), land on 2 = visible (Balmer).

Why is only the Balmer series visible to our eyes?

Each jump gives out light of a certain energy, and energy decides the region (UV, visible, or IR). Jumps ending at n = 1 (Lyman) give very high energy light = UV. Jumps ending at n = 2 (Balmer) give medium energy light, which happens to land in the visible range (about 400 to 700 nm). Jumps ending at n = 3 or higher (Paschen, Brackett) give low energy light = IR. So only Balmer's energies match what human eyes can see.

What are n1 and n2 in the Rydberg formula?

In the formula 1/lambda = R(1/n1^2 - 1/n2^2), n1 is the LOWER level (where the electron lands) and n2 is the HIGHER level (where it starts). Always keep n1 smaller than n2 so the answer stays positive. For the Balmer series, n1 = 2 always, and n2 = 3, 4, 5, and so on. For Lyman, n1 = 1.

Which series has the shortest and longest wavelength line?

Within any series, the smallest jump (like n=3 to n=2 in Balmer) gives the LONGEST wavelength, and the jump from n = infinity (the series limit) gives the SHORTEST wavelength. Across series, the Lyman series has the shortest wavelengths overall because its jumps release the most energy. Remember: more energy = shorter wavelength.

How do I remember the order of the series and their regions?

Use the order Lyman, Balmer, Paschen, Brackett, Pfund for n1 = 1, 2, 3, 4, 5. For regions: Lyman = UV, Balmer = Visible, Paschen and everything after = IR. Sentence to memorise: 'Little Boys Prefer Bright Paint' for the names, and just remember only the second one (Balmer) is visible.

⚠️ The NEET trap
Picking the Lyman series as the visible one because it is the first and most famous series.
The Balmer series (electron ends at n = 2) is the only one in the visible region. Lyman (ends at n = 1) is UV.
🧠 Land on 2, you can see it too. Balmer = Visible.

Real NEET questions

NEET 2019

Which of the following series of transitions in the spectrum of the hydrogen atom falls in the visible region?

A · Lyman series
B · Balmer series
C · Paschen series
D · Brackett series
Solution: The Balmer series comes from electrons falling from higher levels (n = 3, 4, 5, ...) down to n = 2. These lines lie in the visible region. Lyman (ends at n = 1) is ultraviolet, while Paschen and Brackett (end at n = 3 and n = 4) are infrared. So the answer is Balmer series.
NEET 2025

The ratio of the wavelengths of the light absorbed by a hydrogen atom when it undergoes n=2 to n=3 and n=4 to n=6 transitions, respectively, is:

A · 1/9
B · 1/4
C · 1/36
D · 1/16
Solution: Use 1/lambda = R(1/n1^2 - 1/n2^2). For 2 to 3: 1/lambda1 is proportional to 1/4 - 1/9 = 5/36. For 4 to 6: 1/lambda2 is proportional to 1/16 - 1/36 = 5/144. So lambda1/lambda2 = (5/144) / (5/36) = 36/144 = 1/4. The ratio is 1/4.
NEET 2017 · NEET 2018

Which one is the wrong statement?

A · de Broglie's wavelength is lambda = h/mv, where m = mass and v = velocity of the particle
B · The uncertainty principle is (Delta E)(Delta t) >= h/4pi
C · Half-filled and fully filled orbitals have greater stability due to greater exchange energy, symmetry and balanced arrangement
D · The energy of the 2s orbital is less than the energy of the 2p orbital in case of hydrogen-like atoms
Solution: In a single-electron (hydrogen-like) atom, orbital energy depends only on the shell number n. So 2s and 2p have the SAME energy (they are degenerate). Statement D says 2s is lower, which is wrong for hydrogen-like atoms. The other three statements are correct.

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Frequently asked

What is the Rydberg formula for the hydrogen spectrum?

The formula is 1/lambda = R(1/n1^2 - 1/n2^2), where R is the Rydberg constant (109677 cm^-1 for hydrogen), n1 is the lower level, and n2 is the higher level. It gives the wavenumber (1/lambda) of each spectral line.

In which region does the Lyman series lie?

The Lyman series lies in the ultraviolet (UV) region. Its electrons all fall to n = 1, which releases the most energy, giving short-wavelength UV light that our eyes cannot see.

What is the Rydberg constant value?

The Rydberg constant for hydrogen is 109677 cm^-1. In energy terms, the related constant R_H is about 2.18 x 10^-18 J. NCERT uses 109677 cm^-1 in the wavenumber formula.

Why does the hydrogen spectrum have separate lines and not a continuous band?

Because the electron can only exist in fixed energy levels, its jumps release only certain fixed energies. Each fixed energy is one sharp line. This line (discrete) spectrum is direct proof that energy levels in the atom are quantised.

Which series lies in the infrared region?

The Paschen (ends at n = 3), Brackett (ends at n = 4) and Pfund (ends at n = 5) series all lie in the infrared (IR) region. They come from low-energy jumps to higher landing levels.