Modern Physics

Photon Momentum

p=hλ=Ecp = \frac{h}{\lambda} = \frac{E}{c}

Photons carry momentum despite having no rest mass. This is key to understanding radiation pressure and Compton scattering.

Variables

p
Photon momentum
kg·m/s
h
Planck constant
Allowed values: greater than 0
J·s
λ
Wavelength
Allowed values: greater than 0
m
E
Photon energy
J
c
Speed of light
Allowed values: greater than 0
m/s

Derivation

From E = pc for massless particles and E = hc/λ for photons.

Your notes

0/5000

Constants in this formula

h
6.626 070 15 × 10⁻³⁴. Exact by definition.
J·s
c
299,792,458. Exact by definition.
m/s

Check value

Round inputs run through this page's calculator, with each constant at its tabulated value. Use it to test your own working or a rearranged form. It is a test case, not a real-world example.

  • h = 6.626 070 15 × 10⁻³⁴ J·s (Planck constant)
  • λ = 2 m (Wavelength)

Result: p = 3.313035 × 10⁻³⁴ kg·m/s

Other modern physics formulas with the same quantities

Where this formula is listed

Common questions

What is the Photon Momentum formula?

Photon Momentum is written p = h/λ = E/c. Photons carry momentum despite having no rest mass. This is key to understanding radiation pressure and Compton scattering. It belongs to Modern Physics, under Quantum Mechanics.

What are the units in p = h/λ = E/c?

In SI units, p is photon momentum, measured in kg·m/s; h is planck constant, measured in J·s; λ is wavelength, measured in m; E is photon energy, measured in J; c is speed of light, measured in m/s.

How is the Photon Momentum formula derived?

From E = pc for massless particles and E = hc/λ for photons. The result is p = h/λ = E/c.