Question

Church organs have a set of pipes with different lengths. With those different pipes, organs can produce sounds over a wide range of frequencies. If the lowest frequency produced by an organ is 34.7 Hz and the highest frequency is 1.79 kHz, then what is the shortest possible wavelength of sound the organ can produce? Assume that the speed of sound is 341 m/s.

Answer 1

The shortest possible wavelength of sound that an organ can produce, given its highest frequency of 1.79 kHz and the speed of sound as 341 m/s, is 0.1905 meters (or 19.05 cm).

Step-by-step explanation:

The shortest possible wavelength of sound that an organ can produce is determined by its highest frequency. According to the question, the highest frequency is 1.79 kHz, which is 1790 Hz. Using the speed of sound provided as 341 m/s, we can calculate this shortest wavelength using the formula λ = v/f, where λ is the wavelength, v is the speed of sound, and f is the frequency. So, λ = 341 m/s / 1790 Hz = 0.1905 meters (or 19.05 cm).