Get Updates
Subscribe to receive instant notifications for new study materials and important updates.
A person has a hearing range from 20 Hz to 20 kHz. What are th... - Science
A person has a hearing range from 20 Hz to 20 kHz. What are the typical wavelengths of sound waves in air corresponding to these two frequencies? Take the speed of sound in air as 344 m s⁻¹.
Given:
Speed of sound (
v) =344 \text{ m/s}Lower Frequency (
\nu_1) =20 \text{ Hz}Upper Frequency (
\nu_2) =20 \text{ kHz} = 20,000 \text{ Hz}
Formula: \text{Wavelength} (\lambda) = \frac{\text{Speed} (v)}{\text{Frequency} (\nu)}
1. For Lower Frequency (20 Hz):
\lambda_1 = \frac{344}{20}\lambda_1 = 17.2 \text{ m}
2. For Upper Frequency (20,000 Hz):
\lambda_2 = \frac{344}{20000}\lambda_2 = \frac{17.2}{1000}\lambda_2 = 0.0172 \text{ m}
Answer:
The typical wavelengths are 17.2 \text{ m} and 0.0172 \text{ m}.