State the approximate range of frequencies audible to humans as 20 Hz to 20000 Hz

3.4 Sound

Objective

State the approximate range of frequencies audible to humans: $20 \text{ Hz} \le f \le 20000 \text{ Hz}$ 🎧

Key Concepts

  • Sound travels as a longitudinal wave through a medium.
  • Frequency ($f$) determines pitch – higher $f$ = higher pitch.
  • Human hearing range is roughly 20 Hz (deep bass) to 20 kHz (high whistle).
  • As we age, the upper limit often drops to ~16 kHz.

Analogy & Example

Imagine a drum: a deep thump at about 50 Hz feels like a gentle “thump‑thump.” Now think of a whistle or a high‑pitched bird call – those are around 10 kHz, almost like a tiny, rapid “screech.” The human ear can pick up both extremes, but the middle range (200–2000 Hz) is where most speech and music live.

Common Sound Frequencies

Sound Typical Frequency Range (Hz)
Bass Guitar 40–200
Human Voice (average) 85–255
Piano (Middle C) 261.6
Whistle / Bird Call 2000–20000

Exam Tips

Remember: The audible frequency range is $20 \text{ Hz} \text{ to } 20000 \text{ Hz}$.
• 20 Hz is like a deep drum beat.
• 20 kHz is like a high whistle or a bird chirp.
• In exam questions, if a frequency is <20 Hz or >20 kHz, it’s inaudible to most people.
• Use the word “audible” when describing this range.

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