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The period of a sound wave is 0.002 seconds. The speed of a sound is 344 m/s. Find the frequency and wavelength of the sound wave.

Respuesta :

Answer:

Given

Time (T) = 0.002 sec

Velocity(V) = 344 m/s

Frequency (f) = ?

Wavelength (w) = ?

Explanation:

We know that

Frequency (f) = 1/ t

= 1/ 0.002

= 500 hertz

Now

wavelength = V/f

= 344/500

= 0.688 m

The frequency and wavelength of the sound wave with the given time period and speed are 500Hz and 0.688m respectively.

What is Period and Wavelength?

Period is simply the time taken for a complete cycle of vibration to pass a given point. Frequency is expressed as;

f = 1/T

Where f is frequency and T is period of time.

Given that;

  • Period T = 0.002s
  • Frequency f = ?

f = 1/0.002s

f = 500s⁻¹

f = 500Hz

Wavelength is simply the distance over which the shapes of waves are repeated. It is the spatial period of a periodic wave.

From the wavelength, frequency and speed relation,

λ = s ÷ f

Where λ is wavelength, s is speed and f is frequency.

Given that;

  • Speed c = 344m/s
  • Frequency f = 500Hz
  • Wavelength λ = ?

λ = s ÷ f

λ = 344m/s ÷ 500s⁻¹

λ = 0.688m

Therefore, the frequency and wavelength of the sound wave with the given time period and speed are 500Hz and 0.688m respectively.

Learn more about Speed, Frequency and Wavelength here: brainly.com/question/27120701

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