A research team studies an unknown metal foil

PHYSICS · Multi-part · CBSE · Physics · Dual Nature of Radiation and Matter · Dual Nature of Radiation and Matter

Problem

A research team studies an unknown metal foil. The foil is irradiated with monochromatic ultraviolet light of wavelength 310 nm310\,\text{nm}, and photoelectrons are just barely emitted. Later, the same foil is illuminated with light of wavelength 250 nm250\,\text{nm}. The most energetic emitted electrons are stopped by a retarding potential difference of 1.20 V1.20\,\text{V}. (a) Determine the work function of the metal in both joules and electron-volts. (b) Calculate the maximum kinetic energy, in electron-volts, of the electrons emitted by the 250 nm250\,\text{nm} light. (c) Using your result from part (b), predict the stopping potential required to just halt those electrons. Show how your prediction compares with the measured 1.20 V1.20\,\text{V} value. (d) Provide one plausible experimental reason why the measured stopping potential might differ slightly from the value you predicted.

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