To find the frequencies of thunder that humans can hear, we can use the formula relating the speed of sound (\(v\)), frequency (\(f\)), and wavelength (\(λ\)):
\[ v = f \cdot λ \]
Rearranging this formula gives us:
\[ f = \frac{v}{λ} \]
Given that the speed of sound is approximately 330 m/s and the wavelengths range from 2.75 to 16.5 meters, we can calculate the corresponding frequencies for these wavelengths.
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For \(λ = 2.75 , \text{m}\): \[ f = \frac{330 , \text{m/s}}{2.75 , \text{m}} \approx 120 , \text{Hz} \]
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For \(λ = 16.5 , \text{m}\): \[ f = \frac{330 , \text{m/s}}{16.5 , \text{m}} \approx 20 , \text{Hz} \]
Thus, the frequencies of thunder that humans can hear range from approximately 20 Hz to 120 Hz.
Therefore, the correct response is:
20 to 120 hertz.
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