Energy and momentum of a photon (22.1)

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Last updated 7:03 PM on 8/25/26
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10 Terms

1
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What is a photon?

A photon is a quantum of energy of electromagnetic radiation.

Photons are massless but have momentum

2
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What is the relationship between energy of a photon, frequency and Plank’s constant?

Eγ = hf

Where Eγ is the energy of a photon (J)

Where h is Plank’s constant (Js) ~ 6.63 × 10-34

Where f is frequency (Hz)

3
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What relationship can be derived from Eγ = hf?

c = fλ

f = c/λ

Therefore:

Eγ = hc/λ

Where Eγ is the energy of a photon (J)

Where h is Plank’s constant (Js) ~ 6.63 × 10-34

Where c is the speed of light (ms-1)

Where λ is wavelength (m)

4
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What is the relationship between the power of light source, the number of photons per unit time and the energy of a photon?

P = N/t x Eγ

Where P is power of light source (W)

Where N/t is number of photons per unit time (s-1)

Where Eγ is the energy of a photon (J)

5
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What are the equations that relate to the momentum of a photon?

pγ = h/λ = Eγ/c

Where pγ is the momentum of a photon (kgms-1)

Where h is Plank’s constant (Js)

Where λ is wavelength (m)

Where Eγ is the energy of a photon (J)

Where c is the speed of light (ms-1)

Equations for momentum that include mass cannot be used

6
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What is the relationship between force and the momentum of a photon?

F = Δpγ / Δt

Where F is force (N)

Where pγ is the momentum of a photon (kgms-1)

Where t is time (s)

7
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When a photon is incident on a black surface or silver surface what are the respective changes in momentum?

Black surface - Δpγ = pγ as the photon is absorbed

Silver surface - Δpγ = 2pγ as the photon is reflected

8
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What is the electron volt?

The electron volt is the amount of energy gained by 1 electron when it’s accelerated across one volt

It is is 1.6 × 10-16 J

This is because V= E/Q - E = VQ

Q of 1 electron = 1.6 × 10-16 C

Therefore, E = 1 x 1.6 × 10-16 = 1.6 × 10-16 J

9
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How do you convert from electron-volts to joules and coulombs?

eV → J - x 1.6 × 10-16

eV → C - /1.6 × 10-16

10
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What is the relationship between electron volts and kinetic energy?

If an electron is accelerated from rest, an electronvolt is equal to the kinetic energy gained:

eV = ½ mv2 = Ek

Where eV is electron volts (J)

Where m is mass of an electron (kg) ~ 9.11 × 10-31

Where v is the velocity of the electron (ms-1)