Question

If the frequency of a beam of orange light is what is the wavelength of that light in nanometers (nm)?

Answer 1

Solution

Step 1:

$\begin{gathered} Speed\text{ of light = frequency }\times\text{ wavelength} \\ \text{v = f}\lambda \end{gathered}$

Step 2:

$\begin{gathered} v\text{ = 3 }\times\text{ 10}\frac{^8m}{s} \\ f\text{ = 5 }\times\text{ 10}^{14}Hz \end{gathered}$

Step 3:

Substituting in the formula to find the wavelength of light.

$\begin{gathered} 3\text{ x 10}^8\text{ = 5 x 10}^{14}\lambda \\ \lambda\text{ = }\frac{3\times10^8}{5\times10^{14}} \\ \lambda\text{ = 6 }\times\text{ 10}^{-7}m \end{gathered}$

Step 4

$\begin{gathered} Wavelength\text{ in nm = 10}^{-9}m \\ Hence,\text{ } \\ Wavelength\text{ }\lambda\text{ = 600nm} \end{gathered}$

Final answer

wavelength = 600nm