To find the frequencies corresponding to the wavelengths of thunder that humans can hear, we can use the formula that relates the speed of sound \( v \), wavelength \( \lambda \), and frequency \( f \):
\[ f = \frac{v}{\lambda} \]
Given that the speed of sound \( v \) is approximately 330 m/s, we will calculate the frequencies for the given wavelength ranges of 2.75 meters and 16.5 meters.
- Calculate the frequency for the maximum wavelength (16.5 meters):
\[ f_{\text{max}} = \frac{330 , \text{m/s}}{16.5 , \text{m}} \approx 20 , \text{Hz} \]
- Calculate the frequency for the minimum wavelength (2.75 meters):
\[ f_{\text{min}} = \frac{330 , \text{m/s}}{2.75 , \text{m}} \approx 120 , \text{Hz} \]
Thus, the frequencies of thunder that humans can hear range from approximately 20 Hz to 120 Hz.
The correct response is:
20 to 120 hertz