A Sound wave has a frequency of 192 HZ and travels across a football field (91.4m) in 2 seconds. what is the wavelength of the s

Question

3 years ago

13

ound wave?

1 answer:

igor_vitrenko [27] · Answer 1 · 2022-07-23T03:52:41+03:00

The wavelength of the sound wave is 0.24 m

Explanation:

First of all, we calculate the speed of the wave, which is the ratio between the distance covered by the wave and the time taken:

$v=\frac{d}{t}$

where, for the wave in this problem

d = 91.4 m

t = 2 s

Substituting,

$v=\frac{91.4}{2}=45.7 m/s$

Now we can find the wavelength of the wave by using the wave equation:

$v=f \lambda$

where

v is the speed of the wave

f is its frequency

$\lambda$ is the wavelength

For the wave here,

f = 192 Hz

v = 45.7 m/s

Solving for the wavelength,

$\lambda = \frac{v}{f}=\frac{45.7}{192}=0.24 m$

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