Question

Determine the frequency of light with a wavelength of 1.247 × 10−7

cm.
Answer in units of Hz.

Answer 1

`\large \boxed{2.404 * 10^(17)\text{ Hz}}`

Step-by-step explanation:

The formula relating the frequency (f) and wavelength (λ) is

fλ = c

1. Convert the wavelength to metres

`\lambda = 1.247 * 10^(-7)\text{ cm} * \frac{\text{1 m}}{\text{100 cm }} = 1.247 * 10^(-9)\text{ m}`

2. Calculate the frequency

`\begin{array}{rcl}f * 1.247 * 10^(-9)\text{ m}& =& 2.998 * 10^(8) \text{ m$\cdot $s$^(-1)$}\\f & = & \frac{2.998 * 10^(8) \text{ s$^(-1)$}}{1.247 * 10^(-9)}\\\\& = &2.404 * 10^(17)\text{ Hz}\\\end{array}\\\text{The frequency of the light is $\large \boxed{\mathbf{2.404 * 10^(17)}\textbf{ Hz}}$}`