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Atomic Structure -JEE Advanced Previous Year Questions with Solutions

Atomic Structure JEE Advanced Previous Year Questions cover quantum numbers, Bohr model energy calculations, de Broglie wavelength, photoelectric effect, and orbital wave functions. This page provides all questions with step-by-step solutions, topic-wise weightage, and expert tips to help you target high-value marks in JEE Advanced Chemistry.
Atomic Structure -JEE Advanced Previous Year Questions with Solutions

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Why Atomic Structure Matters in JEE Advanced

Atomic Structure is one of the most conceptually rich chapters in JEE Advanced Physical Chemistry. Questions from this chapter have appeared in every JEE Advanced paper from 2010 to 2017 and test a wide range of sub-topics — from Bohr's model energy calculations and quantum number assignments to probability density graphs and the mathematics of orbital wave functions.

Unlike JEE Main, where questions are largely formula-based, JEE Advanced tests deep conceptual understanding. A single paragraph-type question (like the Li²⁺ problem from 2010) can carry 3 questions worth 9–12 marks. Getting this chapter right can meaningfully shift your rank.

According to NTA's official syllabus (available at jeeadv.ac.in), Atomic Structure falls under Physical Chemistry and is directly connected to topics like Chemical Bonding, Spectroscopy, and Quantum Mechanics basics.

To build the foundation before attempting these PYQs, revising your NCERT Solutions for Class 11 Chemistry is strongly recommended — especially Chapters 2 and 3.

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Topic-Wise Weightage Table (JEE Advanced)

Sub-Topic No. of Questions Marks (Approx.) Difficulty Level
Quantum Numbers & Electronic Configuration 3 9 Medium
Bohr Model — Energy & Radius 2 6 Medium–Hard
de Broglie Wavelength 1 4 Medium
Photoelectric Effect 1 4 Easy–Medium
Wave Functions & Probability Density 4 12 Hard
Radial Nodes & Angular Nodes 3 9 Hard
Total 14 44
Important Note: Wave function and probability density questions (like those from JEE Advanced 2017) trip up the most students. The key is to memorise the number of radial nodes = n − l − 1 and the number of angular nodes = l for each orbital, then apply them to match wave function expressions to quantum numbers. Spend at least 2 dedicated sessions on the 2017 matrix-match question — it is one of the most information-dense problems ever asked in this chapter.

JEE Advanced Previous Year Questions of Chemistry with Solutions are available at eSaral. Practicing JEE Advanced Previous Year Papers Questions of Chemistry will help the JEE aspirants in realizing the question pattern as well as help in analyzing weak & strong areas.   Simulator   Previous Years JEE Advance Questions Paragraph for questions 1 to 3 The hydrogen-like species $\mathbf{L} \mathbf{i}^{2+}$ is in a spherically symmetric state $\mathrm{S}_{1}$ with one radial node. Upon absorbing light the ion undergoes transition to a state $\mathrm{S}_{2}$ The state $\mathrm{S}_{2}$ has one radial node and its energy is equal to the ground state energy of the hydrogen atom.

Q. The state S1 is :- (A) 1s (B) 2s (C) 2p (D) 3s [JEE 2010]
Ans. (B) $\mathrm{S}_{1}=2 \mathrm{s}$ $\mathrm{S}_{2}=3 \mathrm{p}$
Q. Energy of the state $\mathrm{S}_{1}$ in units of the hydrogen atom ground state energy is :- (A) 0.75 (B) 1.50 (C) 2.25 (D) 4.50 [JEE 2010]
Ans. (C) $\mathrm{E}=13.6 \times \frac{3}{4}$
Q. The orbital angular momentum quantum number of the state $\mathrm{S}_{2}$ is :- (A) 0 (B) 1 (C) 2 (D) 3 [JEE 2010]
Ans. (B)
Q. The maximum number of electrons that can have principal quantum number, n=3, and spin quantum number, ms = – 1/2, is [JEE 2011]
Ans. 9
Q. The work function $(\phi)$ of some metals is listed below. The number of metals which will show photoelectric effect when light of 300 nm wavelength falls on the metal is : : [JEE 2011]
Ans. 4
Q. The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is [$\mathrm{a}_{0}$ is Bohr radius] $(\mathrm{A}) \frac{\mathrm{h}^{2}}{4 \pi^{2} \mathrm{ma}_{0}^{2}}$ $(\mathrm{B}) \frac{\mathrm{h}^{2}}{16 \pi^{2} \mathrm{ma}_{0}^{2}}$ (C) $\frac{\mathrm{h}^{2}}{32 \pi^{2} \mathrm{ma}_{0}^{2}}$ (D) $\frac{\mathrm{h}^{2}}{32 \pi^{2} \mathrm{ma}_{0}^{2}}$ [JEE 2012]
Ans. (C)
Q. The atomic masses of He and Ne are 4 and 20 a.m.u. respectively. The value of the de Broglie wavelength of He gas at $-73^{\circ} \mathrm{C}$ is "M" times that of the de Broglie wavelength of Ne at $727^{\circ} \mathrm{C}$. M is. [JEE 2013]
Ans. (5)
Q. In an atom, the total number of electrons having quantum numbers n = $4,\left|\mathrm{m}_{\ell}\right|=1$ and $\mathrm{m}_{\mathrm{s}}=-\frac{1}{2} \mathrm{is}$ [JEE 2014]
Ans. (6)
Q. P is the probability of finding the 1s electron of hydrogen atom in a spherical shell of infinitesimal thickness, dr, at a distance r from the nucleus. The volume of this shell is $4 \pi \mathrm{r}^{2} \mathrm{dr}$. The qualitative sketch of the dependence of P on r is – [JEE Adv. 2017]
Ans. (B)
Answer Q.10, Q.11 and Q.12 by appropriately matching the information given in the three columns of the following table. The wave function n, l , m1 is a mathematical function whose value depends upon spherical polar coordinates $(\mathrm{r}, \theta, \phi)$ of the electron and characterized by the quantum numbers n, l and $\mathrm{m}_{1}$. Here r is distance from nucleus,  is colatitude and  is azimuth. In the mathematical functions given in the Table, Z is atomic number $\mathrm{a}_{0}$ is Bohr radius.
Q. For the given orbital in column 1, the only CORRECT combination for any hydrogen - like species is : (A) (IV) (iv) (R) (B) (II) (ii) (P) (C) (III) (iii) (P) (D) (I) (ii) (S) [JEE - Adv. 2017]
Ans. (B) (A) (IV) (iv) (R)  incorrect, because, $\mathrm{d}_{\mathrm{z}^{2}}$ has no nodal plane. (B) (II) (ii) (P)  correct, because 2s orbtial has 1 radial node. (C) (III) (iii) (P)  incorrect, because probability density for 2p at nucleus is zero. (D) (I) (ii) (S)  incorrect, because 1s orbital has no radial node.
Q. For He+ ion, the only INCORRECT combination is (A) (II) (ii) (Q) (B) (I) (i) (S) (C) (I) (i) (R) (D) (I) (iii) (R) [JEE - Adv. 2017]
Ans. (D) The option (D) is incorrect because in the wave function of 1s orbital , no angular function should be present.
Q. For hydrogen atom, the only CORRECT combination is (A) (I) (iv) (R) (B) (I) (i) (P) (C) (II) (i) (Q) (D) (I) (i) (S) [JEE - Adv. 2017]
Ans. (D) We have to select only correct combination hence, the option (D) is correct.

Expert Strategy: How to Approach Atomic Structure in JEE Advanced

What sub-topics carry the most marks?

 Wave functions, orbital shapes, and node calculations account for nearly 50% of all marks from this chapter. Bohr model calculations and quantum number assignments each contribute roughly 20%.

How should you sequence your preparation?

  1. Master NCERT first. The foundation for all JEE Advanced Atomic Structure questions lies in a thorough reading of NCERT Class 11 Chemistry Chapter 2. Use the NCERT Solutions for Class 11 Chemistry alongside.
  2. Solve JEE Main PYQs before tackling JEE Advanced questions — they build the calculation speed you need.
  3. Dedicate focused sessions to wave functions. Understand ψ, ψ², and 4πr²ψ² separately before attempting 2017-type questions.
  4. Work through eSaral's structured problem sets — taught by IIT Bombay faculty who have cleared JEE with AIR-41, these sessions break down exactly how examiners construct traps in quantum number problems.

What mistakes do most students make?

Common Mistake Correction
Confusing radial nodes with angular nodes Radial nodes = n − l − 1; Angular nodes = l
Using wrong temperature unit in the de Broglie formula Always convert °C to Kelvin
Misidentifying spherically symmetric orbitals Only s-orbitals (l = 0) are spherically symmetric
Calculating energy without squaring Z Eₙ = −13.6 × Z²/n² eV — Z must be squared
Mixing probability density with radial probability These are different — 4πr²ψ² ≠ ψ²

For deeper conceptual reinforcement across Physical Chemistry, the NCERT Solutions for Class 12 Chemistry also contain relevant quantum mechanics applications worth revisiting.

Frequently Asked Questions

Find answers to common questions.

What is the formula for radial nodes in JEE Advanced questions?

The number of radial nodes in an orbital = n − l − 1, where n is the principal quantum number and l is the azimuthal quantum number. For example, a 3p orbital has 3 − 1 − 1 = 1 radial node. Angular nodes = l. Total nodes = n − 1.

Which sub-topic of Atomic Structure is hardest in JEE Advanced?

Wave function and orbital mathematics — including matching wave function expressions to quantum numbers, identifying nodal planes, and interpreting probability density graphs — are consistently the hardest sub-topics. Questions from JEE Advanced 2017 (the matrix-match set on ψ, radial nodes, and angular nodes) are considered among the most difficult ever asked in this chapter.

How many questions from Atomic Structure appear in JEE Advanced each year?

Typically, 2 to 4 questions appear from Atomic Structure in JEE Advanced each year, often clubbed as paragraph-based or matrix-match sets that carry 9–12 marks total. The chapter has appeared consistently in every paper from 2010 to 2017 and remains a high-priority topic according to the official JEE Advanced syllabus published by IIT on jeeadv.ac.in.

Is NCERT enough for Atomic Structure in JEE Advanced?

NCERT Class 11 Chemistry Chapter 2 is necessary but not sufficient for JEE Advanced. NCERT covers the core concepts — Bohr model, quantum numbers, shapes of orbitals, and the photoelectric effect — but JEE Advanced questions go deeper into wave function mathematics, probability density graphs, and multi-concept paragraph problems. After NCERT, practise all available PYQs and eSaral's topic-wise advanced problem sets.

How is de Broglie wavelength calculated for gas molecules in JEE Advanced?

For a gas at temperature T (in Kelvin), the thermal de Broglie wavelength is λ = h/√(3mkT), where m is mass per molecule and k is Boltzmann's constant. When comparing two gases, use the ratio λ₁/λ₂ = √(m₂T₂/m₁T₁). Always convert temperatures to Kelvin before applying this formula.

How do I calculate the energy of a hydrogen-like species in JEE Advanced?

Use the formula Eₙ = −13.6 × Z²/n² eV, where Z is the atomic number and n is the principal quantum number. For Li²⁺ (Z = 3) in n = 2: E = −13.6 × 9/4 = −30.6 eV, which equals 2.25 times the hydrogen ground state energy of −13.6 eV.

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fnfOzvSR
March 30, 2026, 3:14 a.m.
1
fnfOzvSR
March 30, 2026, 3:14 a.m.
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fnfOzvSR
March 30, 2026, 3:12 a.m.
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fnfOzvSR
March 30, 2026, 3:12 a.m.
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Aman Sinha
Sept. 16, 2021, 6:26 a.m.
questions the last three years i.e., 2018, 19 and 20 are not present. so pls update this.
iitcarcker
Aug. 17, 2024, 6:35 a.m.
Have u gotten selected in IIT i am sure you aren't seeing this message but still
Abhi
Aug. 7, 2021, 2:50 p.m.
It is useful but the number of que is less .increase it.
Jnanes
May 28, 2021, 6:38 a.m.
Esaral is free
Anonym
Nov. 11, 2020, 10:05 p.m.
Requires some more questions for a good practice. They were too good to solve thanku
neharika
Nov. 9, 2020, 1:02 p.m.
it is very useful u can give some more questions
anonymous x
Nov. 2, 2020, 5:11 p.m.
this helps a lot for finding some of best questions from atomic structure :)
chandana jatoth
Sept. 19, 2020, 4:10 p.m.
good work but please add 2018 and 2019 questions
Asha
Sept. 15, 2020, 4:56 p.m.
Questions are good but you gave very less questions.
ARIN SINGH
Sept. 11, 2020, 2:49 a.m.
PLEASE PROVIDE PDF... U CUD PUT YOUR NAME ON THE PDF FOR COPYRIGHT ISSUES BUT PLEASE U GOTTA DO SOMETHING ABOUT THIS
Suraj
Sept. 4, 2020, 7:34 p.m.
Really helping me.... Thanks a lot
ritwij kumar
Aug. 9, 2020, 8:11 p.m.
please provise pdf... looking and solving on computer puts lots of pressure on our eyes
Lahar
March 31, 2020, 10:52 p.m.
Put 2019 questions also
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