Physics

Physics

Problem

A source emits sound of frequency 600 Hz inside water. The frequency heard in air will be equal to (velocity of sound in water = 1500 m/s, velocity of sound in air = 300 m/s) a. 3000 Hz b. 120 Hz c. 600 Hz d. 6000 Hz
Intuitive explanation

The key insight is that frequency never changes when a wave crosses a boundary — it's determined by the source alone. What does change is the wavelength, since v=fλv = f\lambda and velocity differs between media. So you'll hear the same 600 Hz in air as was emitted in water; the sound doesn't "become" a different frequency just because it travels through a different material. This is why a siren sounds the same pitch whether you're in water or air.

Intuitive explanation

The key insight is that frequency never changes when a wave crosses a boundary — it's determined by the source alone. What does change is the wavelength, since v=fλv = f\lambda and velocity differs between media. So you'll hear the same 600 Hz in air as was emitted in water; the sound doesn't "become" a different frequency just because it travels through a different material. This is why a siren sounds the same pitch whether you're in water or air.

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