The speed of light is about 3.00 × 10 meters per second. What is the frequency of green light that has a wavelength about 500 nanometers? (1 nm = 10 m)

The frequency of the green light is

Explanation:

The visible region is part of the electromagnetic spectrum, any radiation of that electromagnetic spectrum has a speed of in the vacuum.

Green light is part of the visible region. Therefore, the frequency can be determined by the following equation:

 (1)

Where c is the speed of light, is the wavelength and is the frequency.  

Notice that since it is electromagnetic radiation, equation 1 can be used. Remember that light propagates in the form of an electromagnetic wave (that is a magnetic field perpendicular to an electric field).

Then, can be isolated from equation 1

 (2)

Notice that it is necessary to express the wavelength in units of meters.  

⇒

Hence, the frequency of the green light is

you'd use the equation that establishes a relationship between  energy  and  wavelength, which looks like this

e=h⋅cλ, where

λ  - the wavelength of the photon; c  - the speed of light, usually given as  3⋅108m/s; h  -  planck's constant, equal to  6.626⋅10−34j s

plug the value you were given for the energy of the photon in the above equation to get the wavelength

e=h⋅cλ⇒λ=h⋅ce

λ=6.626⋅10−34js⋅3⋅108ms−1.257⋅10−24j=1.581⋅10−1m