Lec 7 | Group Velocity & Relation Group Velocity and Phase Velocity | Engineering Phy BTech 1st Year

Описание: Group Velocity and the relation between Group Velocity and Phase Velocity explained in Engineering Physics for BTech 1st Year students, covering Quantum Mechanics Unit 1 as per the 1st semester university syllabus.
Group Velocity & Relation with Phase Velocity | Quantum Mechanics | Engineering Physics BTech 1st Year

🔗 Useful Links |

👤 Sachin Bhardwaaj (Instagram)
https://www.instagram.com/sachin.bhar...

📺 Coding Junction Channel
   / @codingjunctionyt  

🌐 BTech Junction Website
Coming Soon..

▶️ BTech 1st Year Batches :

📘 Engineering Physics (Playlist)
   • Engineering Physics Full Course | BTech 1s...  

🖥️ Basic Computer Engineering (Playlist)
   • Basic Computer Engineering RGPV B.Tech 1st...  

📐 Mathematics 1 (Playlist)
Coming Soon :)

⏱️ Time Stamps
Will be added as soon as one of you helps with the timeline in the comments 🙂

This video lecture on Group Velocity and the Relation Between Group Velocity & Phase Velocity is a very important part of Quantum Mechanics for BTech 1st Year Engineering Physics students. In this lecture, we explain what group velocity represents physically, how it differs from phase velocity, and why group velocity corresponds to the motion of wave packets or particles.

You will understand the mathematical definitions, vg = dω/dk, vp = ω/k, and how to derive the important relation between group velocity and phase velocity (vg = vp − λ dvp/dλ). The explanation is clear, conceptual, and university-exam oriented, making it highly useful for theory + viva questions.

This lecture is helpful for students from RGPV and all major engineering universities like AKTU, VTU, GTU, JNTU, SPPU, etc.

📘 This Engineering Physics Playlist Includes:

Planck’s Quantum Hypothesis
De Broglie Hypothesis
Wave Function
Schrödinger Equations
Wave Packet, Phase & Group Velocity
Particle in a 1D Box
Heisenberg Uncertainty Principle

🎯 This Video Is Helpful For:

BTech 1st Year (RGPV) – All Branches
Engineering Physics Quantum Mechanics Unit
Students preparing for university exams
Students needing clarity in wave velocities
GATE / NET / IIT-JAM basic physics learners

Group Velocity and its relation with Phase Velocity is a repeated long question in Engineering Physics exams and a commonly asked viva topic.

🏷️ Keywords :

group velocity
phase velocity
relation between group and phase velocity
vg and vp relation
group velocity formula
phase velocity formula
wave packet velocity
dω/dk relation
quantum mechanics wave velocities
engineering physics quantum mechanics
btech 1st year physics
engineering physics btech
wave velocity difference
rgpv engineering physics
quantum mechanics unit 1
exam preparation engineering physics
education point online
sachin sir engineering physics
sachin bhardwaaj engineering physics

🔖 Hashtags
#EngineeringPhysics #QuantumMechanics #GroupVelocity #PhaseVelocity #vgandvp #BTech1stYear #RGPV #SachinSir #BTechJunction