Answer to Question #212656 in Atomic and Nuclear Physics for Getete

Question

A wave has a length of 2m and a frequency of 10Hz. Calculate the wave number . Calculate the angular frequency. Calculate wave speed

Answer 1

The wave number:

$k=\frac{2 \pi}{λ} \\ = \frac{2 \times 3.14}{2}= 3.14 \;m^{-1}$

The angular frequency:

$ω= \frac{2 \pi}{T}$

T=the period of the wave

$T=\frac{1}{f} \\ = \frac{1}{10}=0.1$

$ω= \frac{2 \times 3.14}{0.1}=62.8 \;s^{-1}$

Wave speed:

$v= \frac{ω}{k} \\ = \frac{62.8}{3.14}=20 \;m/s$