# Yellow-green light has a wavelength of 560 nm. What is its frequency?

Nov 20, 2016

The frequency is $5.4 \times {10}^{14} \text{Hz}$

#### Explanation:

The wavelength $\left(\lambda\right)$ times frequency $\left(\nu\right)$ equals the speed of light $\left(c\right)$, which is $3.00 \times {10}^{8} \text{m/s}$ to three significant figures.

$c = \lambda \cdot \nu$

$\nu = \frac{c}{\lambda}$

Frequency is measured in Hertz (Hz), which is $\text{/s}$ or $\text{s"^(-1)}$.

Convert $\text{560 nm}$ to meters since the unit for the speed of light is $\text{m/s}$.

$\text{1 nm"=1xx10^(-9)"m}$

$560 \cancel{\text{nm"xx(1xx10^(-9)"m")/(1cancel"nm")=5.6xx10^(-7)"m}}$

$\nu = \frac{c}{\lambda}$

nu=(3.00xx10^(8)color(white)(.)"m/s")/(5.6xx10^(-7)"m")=5.5xx10^(14) "s"^(-1)"$=$$5.4 \times {10}^{14} \text{Hz}$