Question

quick check # 2
what is the wavelength of radiation with a frequency of 1.50 x 10^13 s^-1?

Explanation:

Step1: Recall the wave - speed formula

The speed of light $c$ is related to frequency $v$ and wavelength $\lambda$ by the formula $c = v\lambda$, where $c=3.00\times 10^{8}\ m/s$. We need to solve for $\lambda$.
$\lambda=\frac{c}{v}$

Step2: Substitute the given values

Given $v = 1.50\times 10^{13}\ s^{-1}$ and $c = 3.00\times 10^{8}\ m/s$.
$\lambda=\frac{3.00\times 10^{8}\ m/s}{1.50\times 10^{13}\ s^{-1}}$

Step3: Calculate the wavelength

$\lambda=\frac{3.00}{1.50}\times10^{8 - 13}\ m=2.00\times 10^{-5}\ m$

Answer:

$2.00\times 10^{-5}\ m$