Tuesday, June 23, 2026
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Chapter 8: Wave in Pipes and Strings

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8.1 Stationary Waves in Pipes

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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

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8.4 Velocity of Transverse Waves Along a Stretched String

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8.5 Vibration of String and Overtones

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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

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✅ Formula Sheet (Quick Revision)

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