4) what is the wavelength of electromagnetic radiation with a frequency of 5.00×10^{12} hz? what kind of…

Explanation:

Step1: Recall the wave - speed formula

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

Step2: Substitute the given values

Given $\nu = 5.00\times 10^{12}\ Hz$ 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. $6.0\times 10^{-5}\ m$