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The graphs below show the variation of the stopping potential with the frequency ( ) of the…

Physics20253 marksDerivation
The graphs below show the variation of the stopping potential $V_S$ with the frequency ($\nu$) of the incident radiations for two different photosensitive materials $M_1$ and $M_2$. Express work function for $M_1$ and $M_2$ in terms of Planck’s constant ($h$) and Threshold frequency and charge of the electron ($e$). If the values of stopping potential for $M_1$ and $M_2$ are $V_1$ and $V_2$ respectively then show that the slope of the lines equals to $\frac{V_1 - V_2}{\nu_{01} - \nu_{02}}$ for a frequency, $\nu > \nu_{02}$ and also $\nu > \nu_{01}$.
Stopping potential vs frequency graph
Stopping potential vs frequency graph

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Dual Nature of Radiation and Matter

From ISC 2025 Specimen Physics Paper 1, question 17.