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Modern Physics & Quantum Mechanics
Free Class Test — Question Paper + Solution
Free class test on Wave Nature of Particle, Semiclassical Theory, and Introduction to Quantum Mechanics — with complete step-by-step solutions. Designed for CSIR NET, IIT JAM, GATE, JEST, and TIFR preparation. No login required.
Attempt Before Opening the Solution
Download the Question Paper first. Attempt the test under timed conditions (45–60 minutes). Only after completing your attempt should you open the Solution PDF. Looking at solutions before attempting eliminates the diagnostic value of the test.
Test 1 — Free Download
Modern Physics & Introductory Quantum Mechanics
Both PDFs are hosted on Pravegaa’s server — click to open in your browser or right-click to save. No registration, no email required.
Test 1 — Question Paper
FREETopic: Wave Nature of Particle, Semiclassical Theory, and Introduction to Quantum Mechanics
Class test format — MCQ and subjective questions covering de Broglie hypothesis, Bohr model, Wilson-Sommerfeld quantisation, and introductory wave mechanics. Attempt under timed conditions before opening the solution.
Test 1 — Detailed Solutions
FREETopic: Wave Nature of Particle, Semiclassical Theory, and Introduction to Quantum Mechanics
Step-by-step solutions for every question in Test 1. Open this only after completing your timed attempt. Use it for error analysis — understand why wrong options are wrong, not just why the correct option is correct.
📄 Download Solution PDFSyllabus Coverage
Modern Physics & QM — Complete Topic Map
Test 1 covers the introductory sub-topics. The full Modern Physics and Quantum Mechanics syllabus (for CSIR NET Part C depth) spans the topics below — tests will be added progressively.
Wave-Particle Duality
de Broglie hypothesis, Davisson-Germer experiment, Compton effect, photoelectric effect
Semiclassical Theory
Bohr model, Wilson-Sommerfeld quantisation, correspondence principle
Schrödinger Equation
Time-independent & time-dependent forms, probability interpretation, normalisation
1D Potentials
Particle in a box, finite well, step potential, harmonic oscillator, tunneling
3D Systems & Hydrogen Atom
Spherical harmonics, radial equation, energy levels, spectroscopic notation
Operators & Commutators
Hermitian operators, expectation values, uncertainty principle, commutation relations
Angular Momentum & Spin
L operators, spin-½ algebra, Clebsch-Gordan coefficients, addition of angular momenta
Perturbation Theory
Time-independent (TIPT): first & second order; degenerate perturbation theory
Approximation Methods
Variational method, WKB approximation, time-dependent perturbation theory
Scattering Theory
Born approximation, scattering amplitude, partial waves, optical theorem
Identical Particles
Bosons & fermions, exchange symmetry, Slater determinants
Modern Physics Basics
Radioactive decay, nuclear binding energy, fission & fusion, semiconductor p-n junction
Exam Importance
Why Quantum Mechanics is the Highest-Weight Section
Across all five major physics competitive exams, Quantum Mechanics is consistently the highest or joint-highest weight section.
| Exam | QM Importance | What’s Tested |
|---|---|---|
| CSIR NET Physical Sciences | Very High (Part C) | Part C: perturbation theory, scattering, symmetries — deepest QM questions in any Indian exam |
| IIT JAM Physics | High (Sections B & C) | Schrödinger eqn, energy eigenvalues, operator algebra — rising importance since 2020 |
| GATE Physics | Very High | Perturbation theory, selection rules, Born approximation — near-guaranteed NAT questions |
| JEST Physics | Very High (Part B) | Time-dependent perturbation, Clebsch-Gordan, scattering — hardest section in JEST |
| TIFR GS | Very High (Symbolic) | Selection rules, angular momentum coupling — tested in symbolic questions at research depth |
Study Strategy
How to Use This Free Test Effectively
A free test only helps if you use it correctly. Follow this 6-step protocol for maximum diagnostic value.
Download the Test Paper
Click the red Download button below. Save it locally. Do not open the solution before attempting.
Attempt Under Timed Conditions
Set a timer for 45–60 minutes. Attempt all questions independently — no textbooks, no notes.
Self-evaluate
After finishing, check against the solution PDF. Mark each question: Correct / Wrong / Guessed.
Error Analysis
For every wrong answer: identify whether it was a concept gap, calculation error, or misread. Note it.
Reattempt in 7 Days
Redo the questions you got wrong after a 7-day gap — without looking at solutions. Spaced repetition is critical.
Topic-wise PYQs Next
After completing this test, solve CSIR NET and IIT JAM PYQs on the same sub-topics across all years.
All Modern Physics & QM Resources
Everything Free for This Topic
Use these free resources alongside the test for a complete topic preparation cycle.
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Free Modern Physics and Quantum Mechanics Test — CSIR NET & IIT JAM
Pravegaa Education provides free class tests for all major physics topics required for competitive examination preparation. The Modern Physics and Quantum Mechanics free test covers Wave Nature of Particles, de Broglie hypothesis, Compton effect, Bohr model, Wilson-Sommerfeld quantisation, and the introductory concepts of wave mechanics. Both the question paper and the step-by-step solution are freely downloadable as PDF files.
Quantum Mechanics is the highest-weight section across CSIR NET Physical Sciences, GATE Physics, JEST, and TIFR GS. Students who build strong QM foundations through systematic testing and error analysis consistently outperform those who rely on reading alone. These free class tests are the same quality as the tests used in Pravegaa’s live online and offline programmes.
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