Question

A light wave has a frequency of 6 x 10^8. What is the wavelength of the light wave? (Assume the speed of light to be 3 x 10^8.)

Answer 1

`\begin{equation*} 0.5\text{ }m \end{equation*}`

Step-by-step explanation

Parameters given:

Frequency of light wave, f = 6 * 10⁸ Hz

Speed of light, c = 3 * 10⁸ m/s

To find the wavelength of the light wave, apply the relationship between speed of light and wavelength:

`\begin{gathered} c=\lambda f \\ \lambda=(c)/(f) \end{gathered}`

Hence, the wavelength of the light wave is:

`\begin{gathered} \lambda=(3*10^8)/(6*10^8) \\ \lambda=0.5\text{ }m \end{gathered}`

That is the answer.