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
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PLAYLIST ON Special Theory of Relativity
https://youtube.com/playlist?list=PLRN3HroZGu2nqysla3fazpMbEprTGTZx3
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1. History of Special Relativity βΊ https://youtu.be/P79Ur8LVcy8
2. Michelson Morley Experiment βΊ https://youtu.be/FQGGSNIWm3o
3. Special Theory of Relativity βΊ https://youtu.be/RYIY4APbV5Q
4. Time Dilation (Thought Exp) βΊ https://youtu.be/lBiAE4Lxy8g
5. Length Contraction (Thought Exp) βΊ https://youtu.be/Ajjf_rIufb0
6. Lorentz Transormations βΊ https://youtu.be/6pj1f8x3APg
7. Relativity of Simultaneity βΊ https://youtu.be/vOSIGViCT-s
8. Can you prove E=MCΒ² βΊ https://youtu.be/VZEhmWFlrnM
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9. Special Theory of Relativity βΊ https://youtu.be/OqhsiylAsFI
10. Length Contraction βΊ https://youtu.be/mMXa0OwFzWQ
11. Length Contraction of Inclined Rod βΊ https://youtu.be/D53-VROc01A
12. Time Dilation βΊ https://youtu.be/wIS-LvdsAzg
13. Muon Decay Experiment βΊ https://youtu.be/b-cdKCYX5ZA
14. Relativistic Velocity Transformations βΊ https://youtu.be/e21RCw8GRjM
15. Speed of light in moving medium βΊ https://youtu.be/WQfqHDsHAZM
16. Relativistic Doppler Effect βΊ https://youtu.be/d6ieu0Z8gAo
17. Relativistic Mass? βΊ https://youtu.be/YaaiPQ_nlyM
18. Relativistic Kinetic Energy βΊ https://youtu.be/TwKSGVKfIXw
19. Relativistic Force βΊ https://youtu.be/fYfdIs7GMrI
20. Relativistic Energy & Momentum βΊ https://youtu.be/X4xLx8fxdy4
21. Magnetism arises from Relativity βΊ https://youtu.be/WwzB1JvsyYc
22. GATE Physics question βΊ https://youtu.be/lUPZYVCHR_E
23. TIFR Physics question βΊ https://youtu.be/L9lKOzCX-Qs
24. Question on Volume contraction βΊ https://youtu.be/FTtxLmwOnmM
25. JEST Physics question βΊ https://youtu.be/bfO0U_SbUyo
26. NET Physics question βΊ https://youtu.be/PQaaNbXau3c
27. Spacetime Invariant Interval βΊ https://youtu.be/Fr_3QdSlimw
28. Minkowski Spacetime βΊ https://youtu.be/-PV1JqV3blY
29. Eucledian Space & Minkowski Spacetime βΊ https://youtu.be/N18Ld-cA25s
30. Spacetime Diagrams βΊ https://youtu.be/1de6GiqcCUc
31. Four Vectors in Relativity βΊ https://youtu.be/PulFmdtzmAU
32. Doppler Effect using 4-vectors βΊ https://youtu.be/Dyxy9FO_P9Q
33. Compton Effect using 4-vectors βΊ https://youtu.be/LumTSpb6Z28
34. Particle Decay using 4-vectors βΊ https://youtu.be/P9iPvI6Q1Yc
35. (SHORTS) Does Light experience time βΊ https://youtu.be/0BBaPM1p1Ok
36. (SHORTS) Light for moving observer βΊ https://youtu.be/tR5w11FgsW4
37. (SHORTS) Nothing can travel faster than light βΊ https://youtu.be/XrfHGPeBw1Q
38. (SHORTS) What is farther away βΊ https://youtu.be/klbalBRtEhE