Atoms and Nuclei
12 lessons
Topic index in NCERT order
12 of 12 lessons by the NCERT chapter they teach from, in book order. The page is the first printed page of your NCERT book the lesson cites; PYQs are the past NEET questions on that topic.
Class 11 Chemistry, Chapter 2
- Hydrogen Spectrump. 452 PYQs
Class 12 Physics, Chapter 12
- Alpha Scatteringp. 2911 PYQ
- Rutherford Modelp. 2910 PYQs
- Bohr Modelp. 2933 PYQs
- Energy Levels Bohrp. 2951 PYQ
Class 12 Physics, Chapter 13
- Nuclear Composition Sizep. 3092 PYQs
- Atomic Massesp. 3100 PYQs
- Mass Energy Relationp. 3102 PYQs
- Binding Energy Variationp. 3110 PYQs
- Mass Defect Binding Energyp. 3111 PYQ
- Nuclear Fissionp. 3152 PYQs
- Nuclear Fusionp. 3161 PYQ
Alpha Scattering
Atomic Masses
Binding Energy Variation
Bohr Model
Energy Levels Bohr
Hydrogen Spectrum
Mass Defect Binding Energy
Mass Energy Relation
Nuclear Composition Size
Nuclear Fission
Nuclear Fusion
Rutherford Model
Past-paper questions from this unit
15 questions from NEET 2020, 2021, 2022, 2023, 2024, 2025, 2026. Answers verified against NTA official keys.
By year in our set: 2020 (2) · 2021 (1) · 2022 (3) · 2023 (3) · 2024 (2) · 2025 (1) · 2026 (3)
Lesson: Mass Energy Relation
Lesson: Alpha Scattering
Lesson: Bohr Model
Lesson: Bohr Model
Lesson: Hydrogen Spectrum
Lesson: Nuclear Composition Size
Lesson: Nuclear Fusion
Lesson: Hydrogen Spectrum
Lesson: Bohr Model
Lesson: Nuclear Composition Size
In the given nuclear reaction, the element X is ²²₁₁Na → X + e⁺ + ν
Lesson: Energy Levels Bohr
Lesson: Nuclear Fission
Lesson: Mass Defect Binding Energy
Lesson: Nuclear Fission
Lesson: Mass Energy Relation
The energy equivalent of 0.5 g of a substance is :
Exam traps and common mistakes in this unit
Lesson: Hydrogen Spectrum
Category: Sign Convention
Student writes 1/λ = R(1/n_2² − 1/n_1²) (negative wavelength). Convention: n_2 > n_1, so 1/λ = R(1/n_1² − 1/n_2²) is positive.
When it triggers
Hydrogen spectrum problem with electronic transition.
How to avoid
n_1 is the LOWER (final for emission, initial for absorption) level. n_2 > n_1 is the HIGHER level. Bracket arrangement: smaller-n term first inside the parens. Result must be positive.
Lesson: Hydrogen Spectrum
Root cause: sign error
Correction
1/λ = R(1/n_1² - 1/n_2²) with n_2 > n_1. Smaller-n term first. Result must be positive.
Lesson: Nuclear Composition Size
Root cause: formula misuse
Correction
R = R_0 A^(1/3). Doubling A multiplies R by 2^(1/3) ≈ 1.26 (not 2). Implies constant nuclear density.
Formulas in this unit
Lesson: Atomic Masses
Mass-energy equivalence
Einstein's mass-energy relation. 1 atomic mass unit = 931.5 MeV in energy units.
| Symbol | Quantity | SI Unit |
|---|---|---|
| E | energy | J or MeV |
| m | mass | kg or u |
| c | speed of light | m/s |
Valid when
- Conversion of mass to energy (or vice versa)
Lesson: Binding Energy Variation
Mass defect and binding energy
Mass defect = sum of constituent masses minus nuclear mass. Binding energy = mass defect in energy units.
| Symbol | Quantity | SI Unit |
|---|---|---|
| Z | proton number | - |
| N | neutron number | - |
| m_p, m_n | proton, neutron mass | u |
| B | binding energy | MeV |
Valid when
- Non-relativistic
- Stable nucleus
Lesson: Bohr Model
Bohr energy levels
Energy of n-th Bohr orbit in hydrogen. n=1 ground state -13.6 eV; ionisation energy = 13.6 eV.
| Symbol | Quantity | SI Unit |
|---|---|---|
| E_n | energy of n-th level | eV |
| n | principal quantum number | - |
Valid when
- Hydrogen atom
- Non-relativistic
Lesson: Bohr Model
Bohr orbit radius
Allowed radii in Bohr model of hydrogen atom. Quantised by integer n.
| Symbol | Quantity | SI Unit |
|---|---|---|
| r_n | n-th orbit radius | m |
| a0 | Bohr radius 5.29e-11 | m |
| n | quantum number | - |
Valid when
- Hydrogen-like atom (single electron)
- Non-relativistic
Lesson: Hydrogen Spectrum
Rydberg formula (hydrogen spectrum)
Wavelengths of hydrogen spectral lines. R = 1.097e7 1/m. Lyman (n1=1, UV), Balmer (n1=2, visible), Paschen+ (IR).
| Symbol | Quantity | SI Unit |
|---|---|---|
| lambda | wavelength | m |
| R | Rydberg constant | 1/m |
| n1, n2 | integers, n2>n1 | - |
Valid when
- Hydrogen atom
- Single electron transition
Lesson: Nuclear Composition Size
Nuclear radius scaling
Nuclear radius scales with cube root of mass number A. Implies constant nuclear density.
| Symbol | Quantity | SI Unit |
|---|---|---|
| R | nuclear radius | m |
| A | mass number | - |
| R0 | ~1.2e-15 | m |
Valid when
- Spherical nucleus assumption
NEET question patterns in this unit
Lesson: Bohr Model
Bohr orbit: r_n = n² a_0; E_n = -13.6/n² eV. Compute for given n.
Common distractors
uses 1 n not 1 n squared
Misuses scaling
Lesson: Hydrogen Spectrum
Rydberg formula 1/λ = R(1/n_1² - 1/n_2²). Identify series and wavelength.
Common distractors
swaps n1 n2
Inverts initial and final levels
Lesson: Mass Energy Relation
E = mc². Convert mass to energy or vice versa. 1 u → 931.5 MeV.
Common distractors
forgets c squared
Treats E = mc not mc²
Lesson: Nuclear Composition Size
Nuclear radius scales as A^(1/3). Compare two nuclei.
Common distractors
uses A or A squared
Uses linear or quadratic instead of cube root
Lesson: Nuclear Fission
Identify fission vs fusion; compute energy released from mass defect.
Common distractors
confuses fission fusion
Conceptual swap
Questions about this unit
- What does Atoms and Nuclei cover for NEET Physics?
- 12 lessons: Alpha Scattering, Atomic Masses, Binding Energy Variation, Bohr Model, Energy Levels Bohr, Hydrogen Spectrum, Mass Defect Binding Energy, Mass Energy Relation, Nuclear Composition Size, Nuclear Fission, Nuclear Fusion and Rutherford Model.
- How often has Atoms and Nuclei come up in NEET past papers?
- Our set of verified past papers has 15 questions from this unit, from NEET 2020, 2021, 2022, 2023, 2024, 2025 and 2026. Each is answered against the official NTA key.
- Is the Atoms and Nuclei material free?
- Yes. All 12 lessons and 96 practice questions are free, with no login needed.