Photoelectric Effects and deBroglie Equation: Practice Problem & Solution
In a photoelectric effect, a metal having threshold frequency ( f_0 ) is used. When it is irradiated with photons of frequency ( 2f_0 ), the stopping potential comes out to be ( V_0 ). If the same metal is irradiated with photons of frequency ( 3f_0 ), then the stopping potential will be equal to
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:
From Einstein's photoelectric equation, \( eV_0 = h(2f_0) - hf_0 = hf_0 \). For frequency ( 3f_0 ), \( eV' = h(3f_0) - hf_0 = 2hf_0 = 2(eV_0) \), which gives \( V' = 2V_0 \).
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