Question

humans can hear thunder at different frequencies. these correspond to wavelengths ranging from 2.75 to 16.5 meters. if the speed of sound is approximately 330 m/s, what frequencies of thunder can humans hear? (1 point) 0.0083 to 0.05 hertz 20 to 120 hertz 907.5 to 5,445 hertz 2.75 to 16.5 hertz

Explanation:

Step1: Recall wave speed formula

The formula relating speed (\(v\)), frequency (\(f\)), and wavelength (\(\lambda\)) is \(v = f\lambda\), so we can solve for frequency: \(f=\frac{v}{\lambda}\).

Step2: Calculate minimum frequency

Use the maximum wavelength (\(\lambda_{max}=16.5\space m\)) to find the minimum frequency. Substitute \(v = 330\space m/s\) and \(\lambda = 16.5\space m\) into \(f=\frac{v}{\lambda}\): \(f_{min}=\frac{330}{16.5}=20\space Hz\).

Step3: Calculate maximum frequency

Use the minimum wavelength (\(\lambda_{min}=2.75\space m\)) to find the maximum frequency. Substitute \(v = 330\space m/s\) and \(\lambda = 2.75\space m\) into \(f=\frac{v}{\lambda}\): \(f_{max}=\frac{330}{2.75}=120\space Hz\).

Answer:

20 to 120 hertz