The minimum number of photons per second?

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SUMMARY

The discussion centers on calculating the minimum number of photons per second that an owl's eye can detect, given its light sensitivity of 4.5 x 10-13 W/m2, a pupil diameter of 7.5 mm, and a light wavelength of 503 nm. The formula provided for this calculation is "Photons per sec = Energy per sec / Energy per photon." This approach is confirmed as a valid starting point for solving the problem, emphasizing the relationship between light intensity, pupil area, and photon energy.

PREREQUISITES
  • Understanding of light intensity and its measurement in watts per square meter (W/m2)
  • Knowledge of the relationship between energy, wavelength, and photons
  • Familiarity with basic physics equations related to energy and photons
  • Ability to perform calculations involving area and energy conversion
NEXT STEPS
  • Calculate the area of the owl's pupil using the formula for the area of a circle.
  • Determine the energy per photon using the equation E = hc/λ, where h is Planck's constant and c is the speed of light.
  • Apply the calculated area and energy per photon to find the energy per second detected by the owl's eye.
  • Use the derived values to finalize the calculation of photons per second detected by the owl.
USEFUL FOR

Students studying physics, particularly those interested in optics and photonics, as well as educators seeking to explain concepts related to light detection and photon calculations.

girlygirl55
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Homework Statement



An owl has good night vision because its eyes can detect a light intensity as small as 4.5 10-13 W/m2. What is the minimum number of photons per second that an owl eye can detect if its pupil has a diameter of 7.5 mm and the light has a wavelength of 503 nm?



Homework Equations



I'm not really sure how to begin. Can you help me solve this step by step?

Photons per sec= Energy per sec/Energy per photon ??


The Attempt at a Solution

 
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girlygirl55 said:
Photons per sec= Energy per sec/Energy per photon
Sure, that'd be a good start.
 

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