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Quantum Theory of Light

Question

Monochromatic light of wavelength 3000 Å is incident on a surface area 4 cm2. If intensity of light is 150 mW/m2, then rate at which photons strike the target is

Moderate
Solution

\frac{n}{t} = \frac{{IA\lambda }}{{hc}} = \frac{{150 \times {{10}^{ - 3}} \times 4 \times {{10}^{ - 4}} \times 3 \times {{10}^{ - 7}}}}{{6.6 \times {{10}^{ - 34}} \times 3 \times {{10}^8}}} = 9 \times {10^{13}}\frac{1}{{sec}}



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