Can you PROVE E = MC² ? (Its Easy)

A Simple proof of E=mc2 can be shown by a thought experiment, which goes as follows : Imagine a container floating in deep space away from any external forces. If a light bulb inside it emits a beam of light, the container should experience recoil, as the light beam carries momentum. This is necessary for the Conservation of Linear Momentum. However this sets the container in motion which cannot be; as it will violate Newton's First Law which says that isolated bodies at rest will be at rest until an external force acts upon it. So, Einstein proposed a solution that the motion of light (which has momentum) is also associated with the motion of a small amount of mass, so that the final Center of Mass of the container+photon system does not change. Doing necessary calculations lead to E=mc2 E=mc2 or the Mass-Energy Equivalence Principle is probably The most famous Equation in all of Physics. It gives a quantitative relationship between Energy and Mass. Anything that has mass, will have an equivalent energy associated with it and any form of Energy will have mass associated with it. Converting one from the other is an experimental problem. The Equation merely states that the relationship between them when such a conversion happens, what should be the necessary relationship. Here, in this video I discuss the simple yet elegant thought experiment of Einstein that can be used to show that E=mc2 #thoughtexperiment 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 ❤️❤️❤️https://www.patreon.com/dibyajyotidas Donate in Paypal 🔥🔥🔥 https://paypal.me/FortheLoveofPhysics JOIN as a member in Youtube 😇😇😇 https://www.youtube.com/channel/UCOfLm6gZGt3vwTMKRg-irhg/join 𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬 PLAYLIST ON Special Theory of Relativity https://youtube.com/playlist?list=PLRN3HroZGu2nqysla3fazpMbEprTGTZx3 ----------------------------------------------------- 1. History of Special Relativity ► https://youtu.be/P79Ur8LVcy8 2. Michelson Morley Experiment ► https://youtu.be/FQGGSNIWm3o 3. Special Theory of Relativity ► https://youtu.be/RYIY4APbV5Q 4. Time Dilation (Thought Exp) ► https://youtu.be/lBiAE4Lxy8g 5. Length Contraction (Thought Exp) ► https://youtu.be/Ajjf_rIufb0 6. Lorentz Transormations ► https://youtu.be/6pj1f8x3APg 7. Relativity of Simultaneity ► https://youtu.be/vOSIGViCT-s 8. Can you prove E=MC² ► https://youtu.be/VZEhmWFlrnM ----------------------------------------------------- 9. Special Theory of Relativity ► https://youtu.be/OqhsiylAsFI 10. Length Contraction ► https://youtu.be/mMXa0OwFzWQ 11. Length Contraction of Inclined Rod ► https://youtu.be/D53-VROc01A 12. Time Dilation ► https://youtu.be/wIS-LvdsAzg 13. Muon Decay Experiment ► https://youtu.be/b-cdKCYX5ZA 14. Relativistic Velocity Transformations ► https://youtu.be/e21RCw8GRjM 15. Speed of light in moving medium ► https://youtu.be/WQfqHDsHAZM 16. Relativistic Doppler Effect ► https://youtu.be/d6ieu0Z8gAo 17. Relativistic Mass? ► https://youtu.be/YaaiPQ_nlyM 18. Relativistic Kinetic Energy ► https://youtu.be/TwKSGVKfIXw 19. Relativistic Force ► https://youtu.be/fYfdIs7GMrI 20. Relativistic Energy & Momentum ► https://youtu.be/X4xLx8fxdy4 21. Magnetism arises from Relativity ► https://youtu.be/WwzB1JvsyYc 22. GATE Physics question ► https://youtu.be/lUPZYVCHR_E 23. TIFR Physics question ► https://youtu.be/L9lKOzCX-Qs 24. Question on Volume contraction ► https://youtu.be/FTtxLmwOnmM 25. JEST Physics question ► https://youtu.be/bfO0U_SbUyo 26. NET Physics question ► https://youtu.be/PQaaNbXau3c 27. Spacetime Invariant Interval ► https://youtu.be/Fr_3QdSlimw 28. Minkowski Spacetime ► https://youtu.be/-PV1JqV3blY 29. Eucledian Space & Minkowski Spacetime ► https://youtu.be/N18Ld-cA25s 30. Spacetime Diagrams ► https://youtu.be/1de6GiqcCUc 31. Four Vectors in Relativity ► https://youtu.be/PulFmdtzmAU 32. Doppler Effect using 4-vectors ► https://youtu.be/Dyxy9FO_P9Q 33. Compton Effect using 4-vectors ► https://youtu.be/LumTSpb6Z28 34. Particle Decay using 4-vectors ► https://youtu.be/P9iPvI6Q1Yc 35. (SHORTS) Does Light experience time ► https://youtu.be/0BBaPM1p1Ok 36. (SHORTS) Light for moving observer ► https://youtu.be/tR5w11FgsW4 37. (SHORTS) Nothing can travel faster than light ► https://youtu.be/XrfHGPeBw1Q 38. (SHORTS) What is farther away ► https://youtu.be/klbalBRtEhE