Question

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

Answer 1

Step 1:

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

Step 2:

`\begin{gathered} v\text{ = 3 }*\text{ 10}(^8m)/(s) \\ f\text{ = 5 }*\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{ = }(3*10^8)/(5*10^(14)) \\ \lambda\text{ = 6 }*\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