Photoelectric Effects and deBroglie Equation: Practice Problem & Solution
Monochromatic light of wavelength 667 nm is produced by a helium neon laser. The power emitted is 9 mW. The number of photons arriving per sec. on the average at a target irradiated by this beam is: (2009)
Solution Explained:
To solve this problem, we apply the core principles of Photoelectric Effects and deBroglie Equation. Understanding the underlying formula is key to arriving at the correct answer below:
Number of photons per second is $n = \frac{P}{E} = \frac{P \lambda}{h c}$. Substituting the values, $n = \frac{9 \times 10^{-3} \times 667 \times 10^{-9}}{6.6 \times 10^{-34} \times 3 \times 10^8} = \frac{6003 \times 10^{-12}}{19.8 \times 10^{-26}} \approx 3 \times 10^{16}$ photons per second.
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