Question

calculate the frequency of a wave traveling with a wavelength of 12 meters.
o 3.00 x10^8 s^-1
2.5 x 10^7 s^-1
o 0.4 x 10^8 s^-1
o 0.4 x 10^-8 s^-1

Explanation:

Step1: Recall wave - speed formula

The speed of light $c = \lambda
u$, where $c = 3\times10^{8}\ m/s$ (speed of light in vacuum, also the speed of electromagnetic waves), $\lambda$ is the wavelength, and $
u$ is the frequency. We need to solve for $
u$, so $
u=\frac{c}{\lambda}$.

Step2: Substitute values

Given $\lambda = 12\ m$ and $c = 3\times10^{8}\ m/s$. Then $
u=\frac{3\times 10^{8}\ m/s}{12\ m}= 2.5\times10^{7}\ s^{-1}$.

Answer:

$2.5\times 10^{7}\ s^{-1}$