A parallel beam of light of wavelength $900 \mathrm{~nm}$ and intensity $100 \,\mathrm{Wm}^{-2}$ is incident on a surface perpendicular to the beam. The number of photons crossing $1 \mathrm{~cm}^{2}$ area perpendicular to the beam in one second is :
Solution
<p>$\lambda$ = 900 nm</p>
<p>I = 100 W/m<sup>2</sup></p>
<p>A = 10<sup>$-$4</sup></p>
<p>$\Rightarrow$ P = 10<sup>$-$2</sup> W</p>
<p>$\Rightarrow$ Number of photons incident per second</p>
<p>$= {{{{10}^{ - 2}}\lambda } \over {hc}}$</p>
<p>$$ = {{9 \times {{10}^{ - 11}} \times {{10}^2}} \over {6.63 \times {{10}^{ - 34}} \times 3 \times {{10}^8}}} \simeq 4.5 \times {10^{16}}$$</p>
About this question
Subject: Physics · Chapter: Dual Nature of Matter and Radiation · Topic: Photoelectric Effect
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