Princeton Review 16th Edition PT1 Q57

Princeton Review's Book

57) We need to find the period, in seconds, of the wave. There are two main equations necessary to solve this problem.

Where v is wave speed, lamda is wavelength, f is frequency, and T is period

First, we need to solve for the frequency of the wave. After that, we can use the frequency to solve for the period. Let’s use the purple equation and plug in our given values to solve for the frequency of the wave.

Where v is wave speed, lamda is wavelength, and f is frequency

Now that we know that the wave’s frequency is 1/(2 * lamda), we can us the orange equation by taking the reciprocal to find the period of the wave.

Where T is period, f is frequency, and lamda is wavelength

Thus, the wave’s period will be (2 * lamda).

Answer: D