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Special Theory of Relativity
Free Video Lectures — Pravegaa Education
4 free video lectures on Special Theory of Relativity — from the postulates and Lorentz transformation through velocity addition to problem-solving. Taught by Atul Gaurav (JNU alumnus). Available free on YouTube. Designed for CSIR NET, IIT JAM, GATE, JEST, and TIFR.
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All 4 Lectures — Pravegaa Education Channel
All 4 Special Theory of Relativity lectures are freely available on the Pravegaa YouTube channel. Browse the channel playlist or subscribe to be notified of new lectures added to this topic.
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Free physics lectures for CSIR NET, IIT JAM, GATE, JEST, and TIFR. Subscribe to receive new STR lectures and problem-solving sessions.
4 Lectures
Special Theory of Relativity — Lecture-by-Lecture Breakdown
Each lecture card shows the topics covered, exam relevance, and a direct link to watch on YouTube. Lectures progress from introduction through derivations to problem-solving.
Lecture 1 · 16 Oct 2021
Special Theory of Relativity — Introduction
Topics Covered
- ✓Historical context — Michelson-Morley experiment and the failure of ether theory
- ✓Galilean transformation and its limitations
- ✓Einstein’s two postulates of Special Relativity
- ✓Principle of Relativity — laws of physics identical in all inertial frames
- ✓Constancy of speed of light — second postulate and its consequences
- ✓Concept of simultaneity and its relativity
- ✓Introduction to inertial frames of reference
🎯 Exam Relevance
Postulates and Michelson-Morley experiment appear in CSIR NET Part B and IIT JAM Section A. Understanding postulates is prerequisite for all subsequent STR derivations.
Lecture 2 · Oct 2021
Introduction to Lorentz Transformation
Topics Covered
- ✓Derivation of Lorentz transformation equations from Einstein’s postulates
- ✓x’ = γ(x − vt) and t’ = γ(t − vx/c²) — structure and meaning
- ✓The Lorentz factor γ = 1/√(1−β²) — behaviour as v → c
- ✓Inverse Lorentz transformation
- ✓Time dilation — derivation from Lorentz transformation
- ✓Length contraction — derivation from Lorentz transformation
- ✓Relativity of simultaneity — two events simultaneous in one frame only
🎯 Exam Relevance
Lorentz transformation derivation and direct applications appear annually in CSIR NET Part B, IIT JAM Section B, and GATE Physics NAT questions. The γ-factor calculation is the most common 1-mark question.
Lecture 3 · Oct 2021
Derivation of Relativistic Velocity Addition
Topics Covered
- ✓Derivation of relativistic velocity addition formula from Lorentz transformation
- ✓u’ = (u − v)/(1 − uv/c²) — the velocity addition formula
- ✓Why velocities cannot simply add in Special Relativity
- ✓Case: u = c → u’ = c (speed of light invariant — verification)
- ✓Transverse velocity transformation
- ✓Rapidity — the additive parameter for relativistic velocities
- ✓Physical intuition: why relativistic addition prevents exceeding c
🎯 Exam Relevance
Velocity addition problems are standard in CSIR NET Part B and IIT JAM Section B. The formula is directly applied in particle physics threshold energy problems in GATE and JEST.
Lecture 4 · Oct 2021
Problems on Relativistic Speed
Topics Covered
- ✓Worked numerical on velocity addition — step-by-step solution approach
- ✓Time dilation problems — proper time vs coordinate time
- ✓Length contraction numericals — proper length vs observed length
- ✓Relative speed calculation between two particles moving in opposite directions
- ✓Problems involving light signals and simultaneity
- ✓Identifying proper frame for a given physical scenario
- ✓Exam strategy: which formula to apply when, and how to check answers
🎯 Exam Relevance
Problem-solving sessions are the most practically valuable for exam preparation. CSIR NET Part B has 3–4 direct numerical STR problems every cycle. GATE Physics NAT questions are almost always velocity/energy calculations.
Full Syllabus
Special Theory of Relativity — Complete Topic Map
The 4 lectures on this page cover topics 1–3 (foundation). The complete CSIR NET / IIT JAM STR syllabus spans all topics below. Additional lectures are available on the YouTube channel.
Postulates & Galilean Transformation
Einstein’s two postulates, failure of Galilean transformation, Michelson-Morley experiment
Lorentz Transformation
Derivation, time dilation, length contraction, simultaneity, causality
Relativistic Velocity Addition
Velocity addition formula, rapidity, invariance of c
Relativistic Dynamics
Relativistic mass, momentum p=γmv, kinetic energy, E=mc²
Mass-Energy Equivalence
E²=p²c²+m²c⁴, rest mass energy, binding energy applications
Four-Vectors
4-velocity, 4-momentum, Lorentz invariant quantities, contravariant/covariant
Spacetime Diagrams
Minkowski diagrams, light cone, worldlines, causal structure
Relativistic Doppler Effect
Longitudinal and transverse Doppler, redshift/blueshift
Relativistic Electrodynamics
Transformation of E and B fields, covariant formulation, field tensor
Threshold Energy Problems
Centre-of-mass frame, threshold for particle creation, Q-value
Key Formulas
Special Theory of Relativity — Formula Quick Reference
These 12 formulas cover 95% of all STR numerical questions in CSIR NET, IIT JAM, and GATE. Derive each one — do not merely memorise.
| Quantity | Formula |
|---|---|
| Lorentz Factor | γ = 1/√(1−β²), β = v/c |
| Time Dilation | Δt = γΔτ (τ = proper time) |
| Length Contraction | L = L₀/γ (L₀ = proper length) |
| Lorentz Transform (x) | x′ = γ(x − vt) |
| Lorentz Transform (t) | t′ = γ(t − vx/c²) |
| Velocity Addition | u′ = (u − v)/(1 − uv/c²) |
| Relativistic Momentum | p = γmv |
| Energy-Momentum | E² = p²c² + m²c⁴ |
| Mass-Energy | E = mc² (rest); E = γmc² (moving) |
| Relativistic KE | T = (γ − 1)mc² |
| Doppler (longitudinal) | f′ = f√((1−β)/(1+β)) |
| Spacetime Interval | s² = c²t² − x² − y² − z² |
Exam Analysis
STR Question Pattern Across All Major Physics Exams
Special Theory of Relativity is a high-yield topic across all 5 major physics competitive exams. Understanding where it appears helps you prioritise.
| Exam | Section | Questions | Negative Marking | What’s Tested |
|---|---|---|---|---|
| CSIR NET | Part B + Part C | 3–5 Q every cycle | −1 & −2/3 | Velocity addition, time dilation, length contraction (Part B). Threshold energy, four-vectors, relativistic Doppler (Part C). |
| IIT JAM | Section A + B + C | 2–4 Q every cycle | 0 (MSQ/NAT) | Lorentz factor calculations, velocity addition in Section B/C. Energy-momentum relation commonly tested as NAT. |
| GATE Physics | NAT + MCQ | 3–5 Q every paper | 0 (NAT); −1/3 (MCQ) | Threshold energy problems, relativistic kinematics, 4-vector invariants. NAT questions reward exact calculation practice. |
| JEST | Part B | 2–3 Q every cycle | −1 (Part B) | Spacetime intervals, four-vector algebra, Doppler effect. Higher conceptual depth expected in Part B selections. |
| TIFR | MCQ + Symbolic | 1–2 Q | −1 (MCQ); 0 (Symbolic) | Four-vectors and relativistic invariance appear in symbolic sections. Conceptual questions on causality and light cone. |
FAQ
Special Theory of Relativity — Frequently Asked Questions
What does Lecture 1 cover and who is it for?
How many STR questions appear in CSIR NET and IIT JAM?
Are these lectures available for free?
How should I use these lectures alongside problem practice?
What topics in STR are covered by Pravegaa beyond these 4 lectures?
All STR Resources
Everything Free for Special Theory of Relativity
Special Theory of Relativity — Free Video Lectures for CSIR NET & IIT JAM
Pravegaa Education provides free video lectures on Special Theory of Relativity (STR) for CSIR NET Physical Sciences, IIT JAM Physics, GATE Physics, JEST, and TIFR preparation. The 4-lecture series covers the complete introductory STR syllabus — from Einstein’s postulates and the Michelson-Morley experiment through Lorentz transformation derivations to relativistic velocity addition and numerical problem-solving. All lectures are taught by Atul Gaurav (JNU School of Physical Sciences alumnus) and are freely available on YouTube at @pravegaaEducation.
Special Theory of Relativity is a high-yield topic across all major physics competitive exams — appearing in CSIR NET Part B and C, IIT JAM Sections B and C, GATE Physics NAT, JEST Part B, and TIFR symbolic sections. Mastery of Lorentz transformation, velocity addition, and the energy-momentum relation is essential for scoring in these exams. Book a free demo class to experience Pravegaa’s teaching directly.
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