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anonymous

  • one year ago

Consider two waves traveling at the same velocity. Wave A has twice the frequency of Wave B. Which of the following statements is true? A. The wavelengths of both waves are equal. B. The wavelength of Wave A is greater than that of Wave B. C. The wavelength of Wave B is greater than that of Wave A. D. The wavelength of the waves has no relevance to the speed. **Thank you! :D

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  1. Michele_Laino
    • one year ago
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    we can write these equations: for waves A and B: \[\Large \begin{gathered} {\lambda _A}{f_A} = {v_A} \hfill \\ \hfill \\ {\lambda _B}{f_B} = {v_B} \hfill \\ \end{gathered} \]

  2. Michele_Laino
    • one year ago
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    f is the frequency

  3. Michele_Laino
    • one year ago
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    now, we have: f_A=2*f_B, and v_A=v_B, so we can write:

  4. anonymous
    • one year ago
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    ok:)

  5. Michele_Laino
    • one year ago
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    step, by step: \[\Large \begin{gathered} {\lambda _A}{f_A} = {\lambda _B}{f_B} \hfill \\ {\lambda _A}\left( {2{f_B}} \right) = {\lambda _B}{f_B} \hfill \\ 2{\lambda _A}{f_B} = {\lambda _B}{f_B} \hfill \\ \hfill \\ 2{\lambda _A} = {\lambda _B} \hfill \\ \end{gathered} \]

  6. anonymous
    • one year ago
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    okay! and so does that mean the wavelength of A is greater than the wavelength of B? so choice B would be the solution?

  7. Michele_Laino
    • one year ago
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    no, the wavelwngth of B is twice of the wave length of A

  8. Michele_Laino
    • one year ago
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    wavelength*

  9. anonymous
    • one year ago
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    ohh okay! so that means the answer should be choice C ?

  10. Michele_Laino
    • one year ago
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    namely the wavelength of B is greater than the wavelength of A

  11. Michele_Laino
    • one year ago
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    yes! that's right!

  12. anonymous
    • one year ago
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    ahh okie! yay! thank you:)

  13. Michele_Laino
    • one year ago
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    thank you! :)

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