Atoms — Class 12 Physics
Physics Part II · Chapter 4
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Chapter summary
Rutherford's alpha-scattering experiment showed that an atom's positive charge and nearly all its mass are concentrated in a tiny dense nucleus, with electrons orbiting in the surrounding space. However, classical physics predicted that orbiting electrons should radiate energy and spiral inward, making such an atom unstable—and it could not explain the sharp line spectra of gases. Bohr resolved this for hydrogen with three postulates: electrons occupy stationary orbits without radiating; angular momentum is quantised as ; and radiation of frequency is emitted or absorbed only during transitions between orbits. These yield quantised orbit radii and energies eV, explaining the hydrogen spectral series—Lyman, Balmer, Paschen and others—through the Rydberg formula. The energy-level diagram and the concepts of ground and excited states follow naturally. Though the Bohr model succeeds beautifully for hydrogen and hydrogen-like ions, it fails for multi-electron atoms and cannot explain spectral fine structure, foreshadowing the need for full quantum mechanics, yet it remains a milestone in understanding atomic structure.
Rutherford's nuclear modelFailure of classical modelBohr's postulatesEnergy levels of hydrogenHydrogen spectral seriesLimitations of the Bohr model
Key ideas & terms
- Nucleus
- Tiny dense central core holding the atom's positive charge and most of its mass.
- Alpha-scattering
- Rutherford's experiment revealing the nuclear model of the atom.
- Bohr's postulates
- Stationary orbits, quantised angular momentum, and quantum jumps with photon emission.
- Energy level
- Discrete allowed energy of an electron,
eV for hydrogen. - Spectral series
- Groups of lines (Lyman, Balmer, Paschen) from transitions to a fixed level.
- Rydberg formula
for hydrogen lines.
Extra questions & answers
What did Rutherford's experiment establish?
That the atom has a tiny, dense, positively charged nucleus containing most of its mass.
Why is the classical atom unstable?
An orbiting electron should continuously radiate energy and spiral into the nucleus.
State Bohr's quantisation condition.
Angular momentum is quantised:
Give the energy of the nth level of hydrogen.
What is the ionisation energy of hydrogen?
13.6 eV, the energy needed to remove the electron from the ground state.
Which series of hydrogen lies in the visible region?
The Balmer series, from transitions to
Write the Bohr frequency condition.
Why are atomic spectra discrete?
Because electrons occupy only quantised energy levels, so transitions give specific frequencies.
How does orbit radius depend on n?
Name a limitation of the Bohr model.
It fails for multi-electron atoms and cannot explain spectral fine structure or intensities.


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