Concept:Photoelectric emission requires each photon to have energy greater than the metal’s work function, and the plate must be uncharged to avoid an opposing electric field.
Explanation:For electrons to be emitted from a metal surface, the incident photon must provide enough energy to overcome the work function
Ï•.
This condition is
hν≥ϕ, where
h is Planck’s constant and
ν is the photon frequency.
Option A (positively charged plate) helps attract electrons, but if
hν<ϕ, no electrons are freed.
Option B (negatively charged plate) creates a repulsive barrier, making emission harder.
Option C (high intensity) increases the number of photons but does not change the threshold condition – if
hν<ϕ, no emission occurs regardless of intensity.
For emission to always take place, two things are needed: the photon energy must exceed the work function, and the plate must have no net charge to avoid extra potential barriers.
Option D states exactly this: the work function is less than the energy of a single photon and the plate is uncharged.
Answer:Option D: The work function of the plate is less than the energy of a single photon and the plate is uncharged.