Question

When poked by a spear, an operatic soprano lets out a (1200 Hz) shriek. What is its wavelength if the speed of sound is (345 m/s)?

a) (0.288 m)
b) (0.287 m)
c) (0.286 m)
d) (0.285 m)

Answer 1

The wavelength of a 1200 Hz shriek when the speed of sound is 345 m/s is 0.2875 m, which rounds to 0.287 m. The formula for wavelength is speed divided by frequency.

Step-by-step explanation:

The question involves calculating the wavelength of a sound given its frequency and the speed of sound. The formula for calculating the wavelength in such a scenario is the speed of sound divided by the frequency of the sound wave. Since the speed of sound is given as 345 m/s and the frequency of the soprano's shriek is 1200 Hz, the calculation would be:

Wavelength = Speed of Sound / Frequency

Wavelength = 345 m/s / 1200 Hz

Wavelength = 0.2875 m

Thus, the correct answer is b) 0.287 m, after rounding to three decimal places.