How many times is the energy of a violet photon (lambda = 400 nm) greater than the energy

How many times is the energy of a violet photon (lambda = 400 nm) greater than the energy of a red photon (lambda = 760nm)?

The photon energy obeys the Planck equation:

E = h * ν, where

h is Planck’s constant;

ν is the frequency.

The wavelength of light and frequency are related by the relationship:

ν = с / λ, where

c is the speed of light,

λ is the radiation wavelength.

Thus, Planck’s equation can be rewritten as:

E = h * s / λ;

It can be seen that the photon energy is inversely proportional to its wavelength.

Е1 / Е2 = λ2 / λ1 = 760/400 = 1.9 (the dimensions can be omitted, since they will all be reduced early during division).

Answer: The energy of a violet photon is 1.9 times that of a red photon.