Easy MCQ +4 / -1 PYQ · JEE Mains 2022

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 :

  1. A $3 \times 10^{16}$
  2. B $4.5 \times 10^{16}$ Correct answer
  3. C $4.5 \times 10^{17}$
  4. D $4.5 \times 10^{20}$

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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