Question

1. what is the wavelength of electromagnetic radiation with a frequency of 5.00×10^{12} hz? what kind of electromagnetic radiation is this? electromagnetic spectrum 3.0×10 - 11 m 3.0×10 11 m 6.0×10 5 m 6.0×10 - 5 m

Explanation:

Step1: Recall the wave - speed formula

The speed of light $c = \lambda
u$, where $c = 3.0\times10^{8}\ m/s$ (speed of light in vacuum), $\lambda$ is the wavelength and $
u$ is the frequency. We need to solve for $\lambda$, so $\lambda=\frac{c}{
u}$.

Step2: Substitute the given values

Given $
u = 5.00\times 10^{12}\ Hz$ and $c = 3.0\times10^{8}\ m/s$. Then $\lambda=\frac{3.0\times 10^{8}\ m/s}{5.00\times 10^{12}\ Hz}$.
\[

$$\begin{align*} \lambda&=\frac{3.0}{5.00}\times10^{8 - 12}\ m\\ &=0.6\times10^{- 4}\ m\\ &=6.0\times10^{-5}\ m \end{align*}$$

\]

Answer:

D. $6.0\times 10^{-5}\ m$