Answered

A water wave has a speed of 23.0 meters/second. If the wave’s frequency is 0.0680 hertz, what is the wavelength?

A)310 meters

B)338 meters

C)120 meters

D)416 meters

Verified Answer :

Using the Fundamental Equation of Wave, we have:

\(v=\lambda f \\ \lambda= \frac{23}{0.068} \\ \boxed {\lambda \approx 338m}\)

Letter B

Answer: Option (B) is the correct answer.

Explanation:

Given data is as follows.

Frequency = 0.0680 hertz = 0.0680 per second

Speed or velocity = 23.0 m/s

We can calculate the wavelength with the help of formula as follows.

                            \(v = \lambda f\)

                            \(\lambda = \frac{v}{f}\)

                                    = \(\frac{23.0 m/s}{0.0680 s^{-1}}\)

                                    = 338.23 meters

or,                                 = 338 meters (approx)

Thus, we can conclude that wavelength is 338 meters (approx).

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