8.1 Stationary Waves in Pipes

8.2 Harmonics and Overtones
- Open pipe: All harmonics (1st, 2nd, 3rd…) present
- Closed pipe: Only odd harmonics (1st, 3rd, 5th…) present
- Overtone: Frequency higher than fundamental frequency
8.3 End Correction

8.4 Velocity of Transverse Waves Along a Stretched String

8.5 Vibration of String and Overtones

8.6 Laws of Vibration of Fixed String
- Frequency ∝ 1/Length → longer string, lower pitch
- Frequency ∝ √Tension → higher tension, higher pitch
- Frequency ∝ 1/√μ → heavier string, lower pitch
Important Questions and Answers in Short

✅ Formula Sheet (Quick Revision)



