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A certain wave on a string is found to have a frequency of 500 Hz500 \mathrm{~Hz} and a wavelength of 0.60 m0.60 \mathrm{~m}. If a new wave of frequency 250 Hz250 \mathrm{~Hz} is then established on this string and the wave speed does not change, is the new wavelength:

(a) 0.60 m0.60 \mathrm{~m}

(b) 0.30 m0.30 \mathrm{~m}

(c) 1.2 m1.2 \mathrm{~m}

Solution

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Answered 1 year ago
Answered 1 year ago
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In this exercise, we have the values of

  • Original Frequency: f0=500 Hzf_0=500~\mathrm{Hz}
  • Original Wavelength: λ0=0.6 m\lambda_0=0.6~\mathrm{m}
  • New Frequency: f1=250 Hzf_1=250~\mathrm{Hz}

We then need to find the new wavelength λ1\lambda_1.

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