Physics

Physics

Problem

A police siren produces a sound whose time period is 0.0025 s. The speed of sound in air is 340 m/s. a. (i) Calculate the frequency of the sound emitted by the siren. b. (ii) Determine the wavelength of this sound in air. c. (iii) State, with reason based on your answer in part (i), whether this sound lies within the audible range for a normal human ear.
Intuitive explanation

The core concept here is the wave relationship connecting frequency, wavelength, and speed. Since you're given the period, your first move is to find the frequency (they're reciprocals), then use v=fλv = f\lambda to find the wavelength. This tells you the spatial "size" of each sound wave the siren produces—a key property that determines how the sound spreads and behaves in air.

Intuitive explanation

The core concept here is the wave relationship connecting frequency, wavelength, and speed. Since you're given the period, your first move is to find the frequency (they're reciprocals), then use v=fλv = f\lambda to find the wavelength. This tells you the spatial "size" of each sound wave the siren produces—a key property that determines how the sound spreads and behaves in air.

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