Question

What is the relationship between wavelength of light and the quantity of energy per photon?

Answer 1

Answer:

It is an inverse relationship

Explanation:

The energy of a photon is given by

e = hc/λ

Where e= energy of the photon, where c =velocity of light, h=Planck's constant and λ =wavelength of light

In this formula the energy is the numerator and the wavelength is the denominator. It can be written as

e= 1/λ .

This means for every increase in energy of photon there will be a decrease in wavelength and for every decrease in energy of the photon there will be an increase in the wavelength.

Answer 2

Answer:

The quantity of energy per photon is inversely proportional to the wavelength of the light.

Explanation:

Energy of light is given as

E = hf

where E = energy of the photons,

f = frequency of the light

If the number of photons = n

(E/n) = (h/n) f

Let (E/n) = E'

(h/n) = h'

But the frequency of light is related to wavelength through the relation

v = fλ

where v = speed of light = c

λ = wavelength of light

f = (c/λ)

E' = h' f

Substituting for f

E' = h' (c/λ)

h' and c are both constants, h'×c = K

E' = (K/λ)

So, the quantity of energy per photon is inversely proportional to the wavelength of the light.

Hope this Helps!!!