Bohr Model of the Hydrogen Atom (Postulates Explained)

Chemistry · Structure Of Atom · NEET

The Bohr model says an electron moves around the nucleus only in certain fixed circular paths called orbits, and it does not lose energy while staying in one orbit. Each orbit has a fixed energy, so these orbits are also called energy levels (or shells). The key rule is that the electron's angular momentum is quantised: mvr = nh/2π. Memory hook: "Fixed tracks, no energy loss, jump = light."
Bohr Model: Fixed Orbits and Energy Jumps+nucleusn=1n=2n=3e⁻n=3n=2n=1jump downemit photonΔE = hνEnergy levelsAngular momentum: mvr = nh/2π (n = 1,2,3...)
Left: the electron moves only in fixed circular orbits (n = 1, 2, 3) and does not lose energy while in an orbit. Right: each orbit is a fixed energy level; light (ΔE = hν) is emitted or absorbed only when the electron jumps between levels. The quantisation rule mvr = nh/2π fixes the allowed orbits.

Your doubts, answered

What are the main postulates of the Bohr model of the hydrogen atom?

There are four simple postulates. (1) The electron moves around the nucleus only in certain fixed circular paths called orbits or stationary states. (2) While the electron stays in one orbit, its energy stays constant and it does NOT lose energy (that is why the atom is stable). (3) Each orbit has a fixed energy, so orbits are also called energy levels, labelled by n = 1, 2, 3... (4) The angular momentum of the electron is quantised: it can only be a whole-number multiple of h/2π, written as mvr = nh/2π. Energy is emitted or absorbed only when the electron jumps from one orbit to another.

What does the equation mvr = nh/2π mean in simple words?

Here m is the mass of the electron, v is its speed, and r is the radius of the orbit. The product mvr is called angular momentum. Bohr said this value is not free to be anything. It can only be n times h/2π, where n = 1, 2, 3... and h is Planck's constant. So angular momentum is 'quantised' (comes in fixed steps). This single rule is what fixes the allowed orbits and separates Bohr's model from earlier models. For NEET, remember n is a positive whole number and never zero or a fraction.

Why does the electron not fall into the nucleus in the Bohr model?

According to older physics, a moving (accelerating) charge should keep radiating energy, spiral inward, and crash into the nucleus. Bohr fixed this by a bold postulate: when the electron is in an allowed orbit (a stationary state), it does NOT radiate energy at all. So it stays in that orbit forever unless something makes it jump. This is a rule Bohr assumed to match experiments; it is not derived. That is why the hydrogen atom is stable. This point is a common NEET 'true/false statement' trap.

When does an electron emit or absorb light in the Bohr model?

Light is emitted or absorbed ONLY when the electron jumps between two orbits, never while it stays in one orbit. If the electron jumps from a higher orbit (higher energy) to a lower orbit, it emits a photon. If it jumps from a lower orbit to a higher orbit, it absorbs a photon. The energy of that photon equals the energy gap: ΔE = E(higher) − E(lower) = hν. This is the 'Bohr frequency condition' and it explains the line spectrum of hydrogen.

What is a stationary state or stationary orbit? Does it mean the electron is standing still?

No. 'Stationary' does not mean the electron is not moving. The electron is still revolving fast around the nucleus. 'Stationary state' means the STATE (the orbit and its energy) does not change with time and does not lose energy. So the energy is stationary (fixed), not the electron. NEET often uses this wording to confuse students, so read the statement carefully.

Does the Bohr model work for all atoms or only hydrogen?

The Bohr model works well only for hydrogen and for hydrogen-LIKE ions that have just one electron, such as He⁺, Li²⁺ and Be³⁺. It fails for atoms with two or more electrons because it ignores electron-electron repulsion. So in NEET, if a question asks you to apply Bohr formulas, the species must be single-electron. This is why the next topic covers radius and energy for hydrogen-like ions.

⚠️ The NEET trap
Thinking the electron continuously radiates energy while moving in its orbit, or thinking 'stationary state' means the electron is at rest.
In an allowed (stationary) orbit the electron moves but does NOT radiate energy; energy is emitted or absorbed only during a jump between orbits. 'Stationary' refers to the fixed energy of the state, not a motionless electron.
🧠 Same orbit = no light. Jump = light. Moving but not losing energy.

Real NEET questions

NEET 2019 (Odisha)

In a hydrogen atom, the de Broglie wavelength of an electron in the second Bohr orbit is: [Given that Bohr radius a₀ = 52.9 pm]

A · 211.6 pm
B · 211.6π pm
C · 52.9π pm
D · 105.8 pm
Solution: Bohr's quantisation rule mvr = nh/2π is the same as saying the orbit fits a whole number of de Broglie waves: nλ = 2πrₙ. For hydrogen, rₙ = a₀·n²/Z = 52.9 × (2²)/1 = 211.6 pm. So λ = 2πrₙ / n = (2π × 211.6)/2 = 211.6π pm. Answer: (B). This question directly uses the angular-momentum quantisation postulate.

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Frequently asked

What is the value of n in the Bohr model?

n is the principal quantum number and it can only be a positive whole number: n = 1, 2, 3, 4... It labels the orbit or energy level. n = 1 is the closest orbit to the nucleus (lowest energy, most stable). n can never be 0, negative, or a fraction.

Is angular momentum quantised in the Bohr model?

Yes. This is the central postulate. Angular momentum mvr can only take fixed values equal to nh/2π, where n = 1, 2, 3... So it changes in fixed steps, not continuously. This is what 'quantised' means.

What is the difference between an orbit and an energy level?

In the Bohr model they mean nearly the same thing. An orbit is the fixed circular path of the electron; an energy level is the fixed energy value of that orbit. Since each orbit has one fixed energy, the words are used together. (Note: an orbit is different from an 'orbital' in the modern quantum model — see the related topic.)

Does the Bohr model explain the hydrogen line spectrum?

Yes, this is its biggest success. When the electron jumps from a higher orbit to a lower orbit, it emits a photon of a fixed energy (ΔE = hν), giving a sharp line. Different jumps give different lines, which matches the observed hydrogen spectrum (Lyman, Balmer, etc.).

Why is the Bohr model still important for NEET if it has limitations?

Because it gives simple, exact formulas for radius, energy, and spectral lines of one-electron species (H, He⁺, Li²⁺). Many NEET numericals are solved fastest using Bohr formulas. You should learn the postulates first, then the radius/energy formulas in the next topic.