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# A certain wave on a string is found to have a frequency of $500 \mathrm{~Hz}$ and a wavelength of $0.60 \mathrm{~m}$. If a new wave of frequency $250 \mathrm{~Hz}$ is then established on this string and the wave speed does not change, is the new wavelength:(a) $0.60 \mathrm{~m}$(b) $0.30 \mathrm{~m}$(c) $1.2 \mathrm{~m}$

Solution

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In this exercise, we have the values of

• Original Frequency: $f_0=500~\mathrm{Hz}$
• Original Wavelength: $\lambda_0=0.6~\mathrm{m}$
• New Frequency: $f_1=250~\mathrm{Hz}$

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

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