Question

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

Answer 1

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).

Answer 2

     Using the Fundamental Equation of Wave, we have:

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

Letter B