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Physics · Ch 7 — Dual Nature of Radiation and Matter

Effect of frequency of incident light on stopping potential

7.2.4

Effect of frequency of incident light on stopping potential

Keeping the intensity fixed this time, the stopping-potential measurement of the previous subsection is repeated for several different frequencies of incident light. The resulting current-versus-potential curves for different frequencies ν1<ν2<ν3\nu_1<\nu_2<\nu_3 all reach the same saturation current on the positive side (since intensity, not frequency, is what fixes the saturation level), but they cross zero current at three progressively more negative stopping potentials, −V01-V_{01}, −V02-V_{02} and −V03-V_{03}, as the frequency increases. In other words, the stopping potential grows larger as the frequency of the incident light increases -- a higher-frequency radiation ejects photoelectrons with a greater maximum kinetic energy, so a larger retarding potential is needed to bring them to a stop. …

Figure 7.11Variation of photocurrent with collector electrode potential for different frequencies of the incident radiation

What this figure shows. A graph with collecting-electrode potential along the horizontal axis (again split into a positive/saturation region and a negative/retarding region) and photocurrent along the vertical axis, this time showing three curves for three different frequencies ν1<ν2<ν3\nu_1<\nu_2<\nu_3 of incident light at a fixed intensity. All three curves reach the same saturation-current plateau on the positive side (since intensity, not frequency, controls the saturation level), but they now cross zero at three progressively more negative stopping potentials −V01-V_{01}, −V02-V_{02}, −V03-V_{03} as the frequency increases from ν1\nu_1 to ν3\nu_3 -- the direct graphical demonstration that a higher-frequency radiation ejects photoelectrons with a higher maximum kinetic energy, requiring a larger retarding po …

Figure 7.12Variation of stopping potential with frequency of the incident radiation for two metals

What this figure shows. A graph with frequency of incident radiation along the horizontal axis and stopping potential along the vertical axis, showing two separate straight lines, one for Metal A and one for Metal B, each line rising linearly once the frequency crosses that particular metal's own threshold frequency (ν0A\nu_{0A} or ν0B\nu_{0B} respectively) and remaining at zero stopping potential for any frequency below that threshold. The two lines are drawn parallel to each other but offset horizontally, since different metals have different threshold frequencies (a property of the metal's work function) even though the slope of stopping potential against frequency -- which turns out to be the same universal constant, Planck's constant divided by the electronic charge -- is identical for every metal, foreshadowing Einstein's …