Chemistry, 08.07.2019 03:30 bbb3771

The wavelength of some yellow light is 580.0 nm. what is the frequency of this yellow light?

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Answer from: KingMack1136

The frequency of yellow light of wavelength 580 nm is $\boxed{{0.05172\times10^{18}}\text{Hz}}$

Further Explanation:

Wavelength is the characteristic property of a wave. The term wavelength is defined as the distance between two successive crests or troughs in a wave. It is represented by $\lambda$ and its SI unit is meter (m).

The term frequency is defined as the number of times n event occurs in unit time. It is generally applied to waves including light, sound and radio waves. It is denoted by ${\text{v }}$ and its SI unit is Hertz (Hz).

The conversion factor to convert nm to m is,

$1\;{\text{nm}}={10^{ - 9}}\;{\text{m}}$

The wavelength and frequency of light are related to each other by the following expression,

${\text{c}} = {v\lambda}$ ......(1)

Here,

C is the speed of light.

is the frequency of light.

$\lambda$ is the wavelength of light.

Rearrange equation (1) to calculate the frequency of light.

$v=\dfrac{c}{\lambda}$ ......(2)

The wavelength of yellow light is 580 nm.

Firstly, wavelength of yellow light is to be converted from nm to m as follows:

$\begin{aligned}{\text{Wavelength of yellow light }}\left({\text{m}}\right)&=\left( {{\text{580 nm}}}\right)\left({\frac{{{{10}^{ - 9}}\;{\text{m}}}}{{1\;{\text{nm}}}}}\right)\\&=58\times {10^{ - 10}}\;{\text{m}}\\\end{aligned}$

The speed of yellow light is $3 \times {10^8}\;{\text{m/s}}$ .

The wavelength of yellow light is $58\times {10^{ - 10}}\;{\text{m}}$ .

Substitute these values in equation (2)

$\begin{aligned}{v }}&=\frac{{{\text{3}}\times{\text{1}}{{\text{0}}^8}\;{\text{m/s}}}}{{58 \times{{10}^{ - 10}}\;{\text{m}}}}\\&=0.05172\times{\text{1}}{{\text{0}}^{18}}\;{\text{Hz}}\\\end{aligned}$

So the frequency of yellow light is ${\mathbf{0}}{\mathbf{.05172 \times 1}}{{\mathbf{0}}^{{\mathbf{18}}}}\;{\mathbf{Hz}}$ .

Learn more:

1. Statement about subatomic particle: link

2. The energy of a photon in light: link

Answer details:

Grade: Senior School

Subject: Chemistry

Chapter: Structure of the atom

Keywords: frequency, wavelength, yellow light, 580 nm, crests, troughs, speed of light, wavelength of light, frequency of light, conversion factor, Hz, m.

Answer from: Quest

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Answer from: Quest

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