To find the frequencies corresponding to the given wavelengths (2.75 to 16.5 meters), we can use the formula that relates the speed of sound (\(v\)), frequency (\(f\)), and wavelength (\(\lambda\)):
\[ f = \frac{v}{\lambda} \]
Given that the speed of sound \(v\) is approximately 330 m/s, we can calculate the frequencies for the given wavelengths:
- For wavelength \(\lambda = 2.75\) m:
\[ f = \frac{330 , \text{m/s}}{2.75 , \text{m}} \approx 120 , \text{Hz} \]
- For wavelength \(\lambda = 16.5\) m:
\[ f = \frac{330 , \text{m/s}}{16.5 , \text{m}} \approx 20 , \text{Hz} \]
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.