Tutorial 6.1: Part 2

Electromagnetic Radiation Chart

What kind of light has a frequency of 5.00 × 1016 Hz?

5.00 × 1016 Hz is between 1016 and 1017 Hz, so it is X ray (not UV).

What kind of light has a frequency of 5.00 × 1014 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*}