How is the energy of a photon related to frequency?

Energy and frequency are directly related to each other.

Explanation:

Energy of photon is directly related to each other. The wave with high frequency have high energy.

Mathematical expression:

E = h.f

f = frequency

h = plancks constant

while wavelength and energy are inversely related to each other. The wave with higher wavelength have low energy.

Mathematical relationship:

f = c/λ

F = h. c/λ

Example:

Frequency of wave = 1.0 ×10¹¹ Hz

Wavelength of wave = ?

Energy of wave = ?

Solution:

speed of wave = wavelength × frequency

wavelength = speed of wave/ frequency

wavelength = 3×10⁸ m/s / 1.0 ×10¹¹ s⁻¹

wavelength =  3×10⁻³ m

Energy:

E = h. f

E = 6.63×10⁻³⁴ Kg.m²/s × 1.0 ×10¹¹ s⁻¹

E = 6.63×10⁻²³ Kg.m²/s²

Kg.m²/s² = j

E = 6.63×10⁻²³ j

sry but any answer choices