In the photoelectric effect, on which parameter does the amount of photoelectric emission current primarily depend, assuming the frequency is above threshold?

Difficulty: Easy

Correct Answer: intensity of incident radiation

Explanation:


Introduction / Context:
The photoelectric effect underpins modern optoelectronics and quantum theory. Quantities like photocurrent, stopping potential, and kinetic energy of emitted electrons each depend on different aspects of the incoming light. This question distinguishes the role of intensity versus frequency in setting the magnitude of the emitted current.


Given Data / Assumptions:

  • Photon energy E = h f; emission occurs only if f ≥ f0 (threshold frequency).
  • Once f > f0, electrons are emitted.
  • Photocurrent is proportional to the number of emitted electrons per unit time reaching the anode in a circuit.


Concept / Approach:
For f ≥ f0, the number of photons arriving per second determines how many electrons are emitted (assuming each photon can liberate at most one photoelectron). Intensity sets photon flux: higher intensity → more photons per second → larger photoelectric current. Frequency determines the maximum kinetic energy of photoelectrons (via stopping potential), not the magnitude of current, provided a sufficient collection field is applied and f remains above threshold.


Step-by-Step Solution:

Ensure f ≥ f0 so emission can occur (else current is zero regardless of intensity).Relate intensity I to photon flux Nγ: Nγ ∝ I / (h f).Photocurrent Iph ∝ electron emission rate ∝ Nγ, hence Iph ∝ intensity.


Verification / Alternative check:

Stopping potential Vstop is set by electron kinetic energy KEmax = h f − φ (φ is work function). Varying frequency shifts KE but not directly the current magnitude if the collection field is adequate.


Why Other Options Are Wrong:

Frequency alone: governs KE, not emission rate (above threshold).Both frequency and intensity: frequency must exceed threshold, but the amount of current primarily scales with intensity under typical measurement conditions.Work function only: sets threshold, not current magnitude at a fixed intensity.


Common Pitfalls:

Confusing stopping potential measurements (frequency-dependent) with photocurrent magnitude (intensity-dependent).


Final Answer:

intensity of incident radiation

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