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Photoelectric emission from a metal stops below a certain frequency of incident light, called the threshold frequency $\nu_0$. The threshold frequency depends primarily on which factor?
AThe intensity of the incident light source
BThe area of the emitter plate exposed to light
CThe work function of the emitter metal
DThe temperature of the metal at the moment of emission
Answer & Solution
Correct answer: C. The work function of the emitter metal
1. Einstein's photoelectric equation is $h\nu = \phi_0 + K_{\max}$.
2. The threshold corresponds to $K_{\max} = 0$, giving $h\nu_0 = \phi_0$, or $\nu_0 = \phi_0 / h$.
3. Since $h$ is a universal constant, $\nu_0$ is determined solely by $\phi_0$, which is a property of the metal.
4. Intensity controls how many photoelectrons are emitted per second (option A wrong); plate area and temperature do not change the per-photon emission threshold (options B, D wrong).
_Source: NCERT Class 12 Physics Part 2, Ch 11 "Dual Nature of Radiation and Matter", §11.4.3 + §11.6, p. 5–7._
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