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A wave motion has a frequency of 5 Hz and a wavelength of 200 m - Leaving Cert Physics - Question (c) - 2005

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Question (c)

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A wave motion has a frequency of 5 Hz and a wavelength of 200 m. Calculate the speed of the wave. (c = fλ)

Worked Solution & Example Answer:A wave motion has a frequency of 5 Hz and a wavelength of 200 m - Leaving Cert Physics - Question (c) - 2005

Step 1

Calculate the speed of the wave.

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Answer

To find the speed of the wave, we can use the formula:
c=fimesλc = f imes \lambda
where:

  • cc is the speed of the wave,
  • ff is the frequency, and
  • λ\lambda is the wavelength.

Given:

  • Frequency (ff) = 5 Hz
  • Wavelength (λ\lambda) = 200 m

Substituting these values into the formula gives:

c=5extHz×200extmc = 5 ext{ Hz} \times 200 ext{ m}

Calculating this results in:

c=1000extm/sc = 1000 ext{ m/s}

Thus, the speed of the wave is 1000 m/s.

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