Photon Rate
Power is the total energy transferred each second. Divide that energy rate by the energy of one photon to find how many photons arrive each second.
Power and photon energy determine the photon rate
Power is energy transferred each second. A beam of power P transfers energy at a known rate. Dividing this energy rate by the energy of one photon gives the number of photons emitted each second.
This relation applies to a monochromatic beam. All photons then have the same frequency and the same energy.
Symbols
- = number of photons (no unit)
- = time (s)
- = beam power (W)
- = energy of one photon (J)
For a monochromatic beam, substitute the photon-energy relation from the previous section.
- At fixed frequency, greater power gives more photons each second.
- At fixed power, higher frequency gives fewer photons each second.
- If power and frequency both change, compare their factors. If both double, the photon rate remains unchanged.
- If a question only says that both increase, there is not enough information to decide how the photon rate changes.
The figure now holds power fixed. The markers count photons; their drawn size does not represent photon energy.
Swipe left or right to view the whole figure →

SAME POWER IN BOTH BEAMS
LOWER FREQUENCY
smaller energy per photon
more photons per second
HIGHER FREQUENCY
larger energy per photon
fewer photons per second
- Higher frequency → more energy per photon → fewer photons each second.
- Lower frequency → less energy per photon → more photons each second.
A laser's power doubles and its frequency doubles. What happens to the number of photons emitted each second?
Show worked answer
It remains unchanged. The beam transfers twice as much energy each second, but each photon also carries twice as much energy.
Worked example
Find the photon rate from a laser
A laser has a power of 350 mW and a wavelength of 640 nm. Determine the number of photons emitted in 1.0 s (9702/42/F/M/24 Q7(b)(i)).
- Convert the power to watts and the wavelength to metres.
- Find the energy of one photon.
- Divide the energy emitted in 1.0 s by the energy of one photon.
Common mistake
Name the fixed condition before making a comparison. Frequency sets energy per photon, power sets total energy per second, and intensity includes the beam area.
