The minimum intensity of white light that our eyes can perceive is about \(0.1 \, nWm}^{-2}\). Calculate the number of photons of this light entering our pupil (area \(0.4 \, cm}^2\)) per second.
(Take average wavelength of white light \(= 500 \, nm}\) and Planck’s constant \(= 6.6 \times 10^{-34} \, Js}\).)
% Correct answer
Correct Answer:
To find the number of photons, we first calculate the energy per photon using the equation for photon energy:
\[
E = \frac{hc}{\lambda}
\]
where \( h = 6.6 \times 10^{-34} \, Js} \) (Planck's constant), \( c = 3 \times 10^8 \, m/s} \) (speed of light), and \( \lambda = 500 \, nm} = 500 \times 10^{-9} \, m} \).