Question

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

Answer 1

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

Answer 2

f is the frequency

Answer 3

now, we have:
f_A=2*f_B, and v_A=v_B, so we can write:

Answer 4

ok:)

Answer 5

step, by step:
\[\Large \begin{gathered}
{\lambda _A}{f_A} = {\lambda _B}{f_B} \hfill \\
{\lambda _A}\left( {2{f_B}} \right) = {\lambda _B}{f_B} \hfill \\
2{\lambda _A}{f_B} = {\lambda _B}{f_B} \hfill \\
\hfill \\
2{\lambda _A} = {\lambda _B} \hfill \\
\end{gathered} \]

Answer 6

okay! and so does that mean the wavelength of A is greater than the wavelength of B? so choice B would be the solution?

Answer 7

no, the wavelwngth of B is twice of the wave length of A

Answer 8

wavelength*

Answer 9

ohh okay! so that means the answer should be choice C ?

Answer 10

namely the wavelength of B is greater than the wavelength of A

Answer 11

yes! that's right!

Answer 12

ahh okie! yay! thank you:)

Answer 13

thank you! :)