Question

A stereo speaker produces a pure \"E\" tone, with a frequency of 329.6 Hz. What is the period of the sound wave produced by the speaker? What is the wavelength of this sound wave as it travels through air with a speed of about 341 m/s? What is the wavelength of the same sound wave as it enters some water, where it has a speed of about 1480 m/s?

Answer 1

0.003034 s

1.035 m

4.5 m

Step-by-step explanation:

`f` = frequency of the tone = 329.6 Hz

`T` = Time period of the sound wave

we know that, Time period and frequency are related as

`T =(1)/(f)\\T =(1)/(329.6)\\T = 0.003034 s`

`v` = speed of the sound in the air = 341 ms⁻¹

wavelength of the sound is given as

`\lambda =(v)/(f) \\\lambda =(341)/(329.6)\\\lambda = 1.035 m`

`v` = speed of the sound in the water = 1480 ms⁻¹

wavelength of the sound in water is given as

`\lambda =(v)/(f) \\\lambda =(1480)/(329.6)\\\lambda = 4.5 m`