Question

A wave travels with speed 211 m/s. Its wave number is 1.90 rad/m. What are each of the following?

(a) the wavelength
m
(b) the frequency
Hz

Answer 1

The wavelength is 111.05 m and the frequency is 1.90 Hz.

Step-by-step explanation:

The formula relating wave speed, wavelength, and frequency is v = λf, where v is the wave speed, λ is the wavelength, and f is the frequency.

To find the wavelength, we can rearrange the formula as λ = v/f. Plugging in the values given, we have λ = 211 m/s / 1.90 rad/m = 111.05 m.

To find the frequency, we rearrange the formula as f = v/λ. Plugging in the values given, we have f = 211 m/s / 111.05 m = 1.90 Hz.