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Waves propagate along a stretched string at a speed of 8.0 m/s. The end of the string vibrates up and down once every 1.5 s. What is the wavelength of the waves traveling along the string?

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Answer:

  • So we have waves
  • F= 1/t
  • So F= 1/1.5= 0.66
  • V= wavelength × F
  • 8.0m/s= x × 0.66
  • x=12.2

The wavelength of the waves traveling along the string is 12 meters.

What is a Wavelength?

  • The distance between adjacent successive crests or troughs of a wave is termed as its wavelength.
  • Wavelength is calculated in the wave's direction.

Given:

Waves propagate along the stretched string at speed = 8.0 m/s

The end of the string vibrates up and down once every 1.5 s.

∴ Time = 1.5 s

We have to find the wavelength of the waves.

We know,

⇒ Time = 1/frequency

⇒ 1/frequency = 1.5

Now

⇒ speed = frequency × wavelength

⇒ wavelength = speed / frequency

⇒ wavelength = 8 × 1.5

⇒ wavelength = 12 m

Therefore, the wavelength of the waves traveling along the string with given speed is 12 m.

Learn more about the Wavelength here: https://brainly.com/question/17774076

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