Which describes the relationship between photon energy and the color of light? a. all colors have the same photon energy. b. violet photons have the least amount of energy. c. red photons have the least amount of energy. d. red photons have the most energy.

option C. Red photons have the least amount of energy.

Explanation:

This question deals with the visible light spectrum.

The white light is composed of a mix of colors which, in increasing order of frequency and energy, are named red, orange, yellow, green, blue and violet.

Red light has the least energy and violet light has the most energy.

Light is said to have both characteristics of waves and of particles.

As wave, light has a wavelength, that is inverseley related to its frequency.  So, the longer the wavelength the lower the frequency.

This is the equation: wavelength = speed / frequency (λ = c / ν)

Red light, as said, has the largest wavelength and the lowest energy.

Photon is what characterizes the light as a particle: a photon is a quantum of light.

And the energy, E, of a photon is directly related to the frequency as per this equation: E = hν, where h is Planck's constant.

So, that equation shows that the lowest the frequency, ν, the lowest the energy of the photon. This summarizes the said about the photon energy and the color of light:

red light: longest wavelength → lowest frequency → least energy

violet light: shortest wavelength → highest frequency → most energy.

This table, taken from internet, shows the wavelength, frequency and photon energy of the visible light:

Color     Wavelength       Frequency          Photon energy

Violet    380–450 nm     668–789 THz     2.75–3.26 eV

Blue      450–495 nm     606–668 THz     2.50–2.75 eV

Green   495–570 nm     526–606 THz     2.17–2.50 eV

Yellow   570–590 nm    508–526 THz     2.10–2.17 eV

Orange  590–620 nm    484–508 THz     2.00–2.10 eV

Red        620–750 nm    400–484 THz     1.65–2.00 eV

The bottom line shows the explained: the red photons have the least amount of energy (option C.)

the answer is b ) square root of 5

if they have a finite resultant