The Photoelectric Effect: Stopping Potential
1 · Predict
A retarding voltage is applied to push ejected photoelectrons back toward the metal. What voltage is needed to just barely stop even the fastest ejected electrons?
- The stopping voltage (in volts) numerically equals the maximum kinetic energy (in eV) — it takes exactly that much reverse work to stop the fastest electrons.
- The stopping voltage doesn't depend on the photon energy.
- The stopping voltage depends on the photocell's shape, not on the light.
2 · Set Up
- Open the photoelectric-retard preset and press Reset. The photocell's work function is fixed at 2.0 eV.
- Enable the stopping-potential readout.
- Set the light's wavelength for each trial and record the stopping potential needed to halt the fastest photoelectrons.
3 · Collect Data
| Wavelength λ (nm) | Photon energy E_γ (eV) | Stopping potential V_stop (V) |
|---|---|---|
| 300 | ||
| 350 | ||
| 450 |
Plot V_stop (y-axis) against photon energy E_γ (x-axis) for your three trials.
4 · Analyze
- For one trial, compute E_γ = hc/λ, then V_stop = K_max = E_γ − φ using φ = 2.0 eV (numerically, since 1 eV of kinetic energy is stopped by exactly 1 V of retarding potential). Compare to the table.
- Explain why measuring the stopping voltage is a clever experimental trick: it directly reads off K_max in eV without needing to measure electron speeds directly.
5 · Extend
- If you plotted V_stop against the light's FREQUENCY (not wavelength) instead, the slope of that line would equal h/e — Planck's constant divided by the electron charge. Explain why this graph was historically used to measure Planck's constant experimentally.
- What would the stopping potential be for light with photon energy below 2.0 eV? Would you even need a stopping potential in that case?
The Physics Behind This Experiment
Stopping Potential
The retarding voltage that just barely stops the fastest photoelectrons equals their maximum kinetic energy in eV: V_stop = K_max = E_γ − φ. This gives a direct, easily-measured readout of the photon energy above threshold.