### Tutorial 6.1: Part 2

Electromagnetic Radiation Chart

What kind of light has a frequency of 5.00 × 10^{16} Hz?

5.00 × 10^{16} Hz is between 10^{16} and 10^{17} Hz, so it is X ray (not UV).

What kind of light has a frequency of 5.00 × 10^{14} Hz?

It appears to be visible so we will need to find the wavelength to discern the color.

\begin{align*}
c & = \lambda\nu\\
\lambda & = \frac{c}{\nu}\\\\
\lambda & = \frac{3.00 \times 10^8 \, m/s}{5.00 \times 10^{14} \, s^{-1}}\\\\
\lambda & = 6.00 \times 10^{-7} \,m\\\\
\lambda & = 600 \,nm\\\\
\end{align*}
What color corresponds to light with a wavelength of 600 nm? Orange?

Using this chart we can give a definite answer - orange.

What kind of light has a wavelength of 5.00 × 10^{-8} m?

5.00 × 10^{-8} m is between 10^{-8} and 10^{-7} m, so it is UV (not X ray).

What is a possible frequency for yellow light?

The chart shows yellow as having a wavelength of about 580 nm.

$$ 580 \,nm \times \frac{1 m}{10^9 nm} = 5.80 \times 10^{-7} m$$
\begin{align*}
c & = \lambda\nu\\
\nu & = \frac{c}{\lambda}\\\\
\nu & = \frac{3.00 \times 10^8 \, m/s}{5.80 \times 10^{-7} \, m}\\\\
\nu & = 5.17\times 10^{14} \,s^{-1}\\\\
\end{align*}