Cicadas produce a buzzing sound that has a wavelength in air of 2.69 m. if the speed of sound in air is 346 m/s, what is the frequency of the sound produced by a cicada? what is it's period?

frequency = 116.89 Hz

wavelength = 0.00855 s

Explanation:

Using v = fλ ⇒ f =

                          =

                          = 116.89 Hz

And using T =           T = time period

                    =

                    = 0.00855 s

a) frequency = 128.6Hz

b) Period = 0.0078second

Explanation:

Frequency (f) is defined as the number of oscillation/vibration completed by a wave in one second. Mathematically, it is the ratio of the velocity of wave (v) to the wavelength (¶) of the wave.

f = v/¶.

Velocity (v) = 346m/s

Wavelength (¶) = 2.69m

f = 346/2.69

Frequency = 128.6Hertz

Period is the time taken for a wave to complete an oscillation/vibration. Period (T) is the reciprocal of the frequency (f) of vibration.

T = 1/f

Given f = 128.6Hz

T = 1/128.6

T = 0.0078second

The period of the wave is 0.0078second