A deep-water wave is traveling with a speed of 13 m/s. Its period is ________.
A) 1.2 seconds
B) 1.3 seconds
C) 8.3 seconds
D) 13 seconds
E) None of these is correct.

Question

Quizplus · Accepted Answer

The formula that relates wave speed (v), wavelength (L), and wave period (T) for deep-water waves is v = L/T. Rearranging the formula to solve for T, we get T = L/v. However, we are not given the wavelength in this problem. We can use the relationship between wavelength and wave speed for deep-water waves: L = vT. Substituting the given values, we get L = 13*T. We don't know the units of T, but it doesn't matter since we are only interested in the ratio L/T. Thus, L/T = 13. Solving for T, we get T = L/13. We don't know the value of L in this problem, but we don't need to. The period of the wave is proportional to the wavelength, and since we know that the wave speed is constant, the period must also be constant. Thus, the answer is not dependent on the value of L.

A Deep-Water Wave Is Traveling with a Speed of 13