Question

The energy of a photon of light is __________ proportional to its frequency and __________ proportional to its wavelength.

A) directly, directly
B) inversely, inversely
C) inversely, directly
D) directly, inversely
E) indirectly, not

Answer 1

D) directly, inversely

Step-by-step explanation:

The energy of a photon of light is directly proportional to its frequency and inversely proportional to its wavelength.

Frequency is the number of waves that passes through a point per unit of time.

Wavelength is the is the distance between successive crests or troughs on a wave.

Mathematically, frequency is related to wavelength and velocity using;

Energy = h x f

where h is the Planck's constant

f is the frequency

Since c = f ∧

where f is the frequency of the wave

∧ is the wavelength of the wave

c is the speed of light

So;

f = c/∧

Therefore;

E =
`(h c)/(wavelength)`

From the equation, we see an inverse relationship between E and wavelength and a direct one with frequency.