Proof of Time Dilation: Muon Decay Experiment (Explained)

One of the earliest experimental verification to Time Dilation, and Length Contraction, and hence the predictions of Special Theory of Relativity, came from studying the Muon Decay experiment through atmosphere. When Cosmic rays strike the Earth's upper atmosphere, it creates muons, also known as mu-mesons, that travel at 98% the speed of light towards the Earth's surface. These subatomic particles have a very short average lifespan of around 2 microseconds. According to calculations, most of these muons should decay before reaching the Earth's surface. However, the number of such muon particles that reach the surface is much higher than expected. This is because, when muons are travelling at such high velovities, their clocks tick slowly, thus increasing the average lifespan with respect to an observer on earth. 00:00 Muon Decay Experiment 01:59 Non Relativistic calculations 08:15 Time Dilation (wrt Earth) 15:36 Length Contraction (wrt Muon) #SpecialTheoryofRelativity #STR 𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬 Your financial support provides me an additional incentive to create high quality lecture videos. I am very much thankful for your generosity and kindness Support in Patreon ❤️❤️❤️  / dibyajyotidas   Donate in Paypal 🔥🔥🔥 https://paypal.me/FortheLoveofPhysics JOIN as a member in Youtube 😇😇😇    / @fortheloveofphysics   𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬 PLAYLIST ON Special Theory of Relativity    • Special Theory of Relativity   ----------------------------------------------------- 1. History of Special Relativity ►    • History of Special Relativity (Part 1) - G...   2. Michelson Morley Experiment ►    • Michelson Morley Experiment (COMPLETE) His...   3. Special Theory of Relativity ►    • Special Theory of Relativity (Summary)   4. Time Dilation (Thought Exp) ►    • Time Dilation? - Thought Experiment (Proof)   5. Length Contraction (Thought Exp) ►    • Length Contraction? - Thought Experiment (...   6. Lorentz Transormations ►    • Lorentz Transformations (Step by Step) Der...   7. Relativity of Simultaneity ►    • Relativity of Simultaneity (Thought Experi...   8. Can you prove E=MC² ►    • Can you PROVE E = MC² ? (Its Easy)   ----------------------------------------------------- 9. Special Theory of Relativity ►    • Special Theory of Relativity - Lecture Ser...   10. Length Contraction ►    • Length Contraction Explained (Special Rela...   11. Length Contraction of Inclined Rod ►    • Length Contraction (& Angle) of Inclined R...   12. Time Dilation ►    • Time Dilation Explained   13. Muon Decay Experiment ►    • Proof of Time Dilation: Muon Decay Experim...   14. Relativistic Velocity Transformations ►    • Relativistic Velocity Transformations: Der...   15. Speed of light in moving medium ►    • Speed of Light in a moving Medium - It's N...   16. Relativistic Doppler Effect ►    • What is Relativistic Doppler Effect ? How ...   17. Relativistic Mass? ►    • What is Relativistic mass? DERIVATION (var...   18. Relativistic Kinetic Energy ►    • Relativistic Kinetic Energy: Explained    19. Relativistic Force ►    • Relativistic Force (Derivation)   20. Relativistic Energy & Momentum ►    • Relativistic Energy and Momentum: Explained   21. Magnetism arises from Relativity ►    • How Magnetism ARISES from Relativity: (Hid...   22. GATE Physics question ►    • GATE Physics: Problem on Special Relativity   23. TIFR Physics question ►    • TIFR Physics: Problem on Special Relativit...   24. Question on Volume contraction ►    • Volume Contraction in Special Relativity   25. JEST Physics question ►    • JEST Physics: Solving a Special Relativity...   26. NET Physics question ►    • CSIR-NET Physics Problem: Relativistic Par...   27. Spacetime Invariant Interval ►    • Spacetime Interval in Relativity (Explaine...   28. Minkowski Spacetime ►    • Minkowski SPACETIME, Hyperbolic Geometry &...   29. Eucledian Space & Minkowski Spacetime ►    • Flat Space & Minkowski SPACETIME (5 Differ...   30. Spacetime Diagrams ►    • Relativity Using Spacetime Diagrams | Time...   31. Four Vectors in Relativity ►    • What are FOUR VECTORS in Special Relativit...   32. Doppler Effect using 4-vectors ►    • How to use 4 VECTORS to prove Relativistic...   33. Compton Effect using 4-vectors ►    • Compton effect (Proof) using 4-VECTORS | S...   34. Particle Decay using 4-vectors ►    • Particle Decay in Relativity using 4-Vectors   35. (SHORTS) Does Light experience time ►    • Does light photon experience TIME? #shorts   36. (SHORTS) Light for moving observer ►    • What is the speed of Light for a moving Ob...   37. (SHORTS) Nothing can travel faster than light ►    • Why nothing can travel faster than the spe...   38. (SHORTS) What is farther away ►    • What is farther away, 1metre in space or 1...