Solar Panel Efficiency and Photon Energy · AI Generator #GEN-86115ACA

Physics · modern-physics

Problem

A new type of silicon solar panel is designed to maximize efficiency by only absorbing photons with energy greater than

1.8 \times 10^{-19}\;\text{J}

. When sunlight hits the panel, photons with lower energy simply pass through without being absorbed. A researcher measures the solar irradiance and finds that the average wavelength of sunlight reaching the panel is

550\;\text{nm}

. However, due to atmospheric scattering, only

75\%

of the incident photons have wavelengths shorter than this average value. Determine what fraction of the total incident photons can be absorbed by this solar panel, assuming that all photons with wavelengths shorter than the average have sufficient energy to exceed the absorption threshold. Given: Planck's constant

h = 6.63 \times 10^{-34}\;\text{J⋅s}

, speed of light

c = 3.0 \times 10^8\;\text{m/s}

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