Rankers Physics

Photoelectric Effects and deBroglie Equation: Practice Problem & Solution

The threshold frequency for photoelectric effect on sodium corresponds to a wavelength of $5000 \AA$. Its work function is (1988)
$4 \times 10^{-19} J$
$1 J$
$2 \times 10^{-19} J$
$3 \times 10^{-19} J$

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:

Work function $\phi = \frac{hc}{\lambda_0} = \frac{6.63 \times 10^{-34} \times 3 \times 10^8}{5000 \times 10^{-10}} = \frac{19.89 \times 10^{-26}}{5 \times 10^{-7}} = 3.978 \times 10^{-19} J \approx 4 \times 10^{-19} J$.

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