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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.

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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.

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Test 1 — Question Paper

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Topic: 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.

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Test 1 — Detailed Solutions

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Topic: 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.

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Syllabus 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

💡 Test 1 covers: Topics 1 and 2 above — Wave-Particle Duality and Semiclassical Theory (Bohr model, Wilson-Sommerfeld). Future tests will cover topics 3–12 progressively.

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.

ExamQM ImportanceWhat’s Tested
CSIR NET Physical SciencesVery High (Part C)Part C: perturbation theory, scattering, symmetries — deepest QM questions in any Indian exam
IIT JAM PhysicsHigh (Sections B & C)Schrödinger eqn, energy eigenvalues, operator algebra — rising importance since 2020
GATE PhysicsVery HighPerturbation theory, selection rules, Born approximation — near-guaranteed NAT questions
JEST PhysicsVery High (Part B)Time-dependent perturbation, Clebsch-Gordan, scattering — hardest section in JEST
TIFR GSVery High (Symbolic)Selection rules, angular momentum coupling — tested in symbolic questions at research depth
💡 Pravegaa tip: Students who master Quantum Mechanics to CSIR NET Part C depth are simultaneously well-prepared for GATE Physics, JEST, and TIFR. Invest the most time here — it compounds across all exams.

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.

1

Download the Test Paper

Click the red Download button below. Save it locally. Do not open the solution before attempting.

2

Attempt Under Timed Conditions

Set a timer for 45–60 minutes. Attempt all questions independently — no textbooks, no notes.

3

Self-evaluate

After finishing, check against the solution PDF. Mark each question: Correct / Wrong / Guessed.

4

Error Analysis

For every wrong answer: identify whether it was a concept gap, calculation error, or misread. Note it.

5

Reattempt in 7 Days

Redo the questions you got wrong after a 7-day gap — without looking at solutions. Spaced repetition is critical.

6

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.

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.

About Pravegaa Education

Pravegaa Education is a physics-only coaching institute at 28B/7, Jia Sarai, Near IIT Delhi, New Delhi founded by Atul Gaurav (JNU alumnus) and Dr. Alok Shukla (IIT Delhi alumnus). With 8,000+ selections and AIR 1 results, Pravegaa provides structured preparation for CSIR NET, IIT JAM, GATE, JEST, and TIFR. Book a free demo class or call 8920759559.

FAQ

Frequently Asked Questions

Yes — both the question paper and the solution PDF are completely free to download. No login, no registration, no payment required. Click the download buttons directly.
Test 1 covers Wave Nature of Particles, Semiclassical Theory, and Introductory Quantum Mechanics — BSc final-year to early MSc level. It is appropriate for students preparing for IIT JAM Physics, CSIR NET Part B, and as a foundation-building step before tackling CSIR NET Part C level questions.
Yes. The test series for Modern Physics and Quantum Mechanics is being expanded progressively. Future tests will cover 1D potentials, hydrogen atom, perturbation theory, scattering theory, and angular momentum coupling. Enroll in a Pravegaa course or follow the YouTube channel to be notified when new tests are added.
Attempt the full test under timed conditions (45–60 minutes) before opening the solution. After checking, classify every question: Correct, Wrong-concept, Wrong-calculation, or Guessed. For every wrong answer, trace it back to the specific concept that failed and revisit it in your notes or video lecture. Reattempt the same questions after 7 days without solutions.
Yes. The test is designed with the same conceptual depth and problem-solving style expected in CSIR NET Part B/C and IIT JAM Sections B and C. The Introductory QM topics tested here — de Broglie, photoelectric effect, Bohr model, and basic Schrödinger equation — appear in both exams every year.

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These free tests show you where you stand. Pravegaa’s live programme gives you structured concept building, PYQ-driven classes, weekly doubt sessions, and a complete test series — the full system that produced 8,000+ selections and AIR 1 results.

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