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  4. A graph regarding photoelectric effect is shown between the maximum kinetic energy of electrons and the frequency of the incident light. On the basis of the data as shown in the graph, calculate the work function.

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Q. A graph regarding photoelectric effect is shown between the maximum kinetic energy of electrons and the frequency of the incident light. On the basis of the data as shown in the graph, calculate the work function.Physics Question Image

Jharkhand CECEJharkhand CECE 2015

Solution:

From the graph, threshold frequency $ {{v}_{0}}=10\times {{10}^{14}}Hz $
$ h=\frac{\Delta {{k}_{\max }}}{\Delta v}=\frac{8\times 16\times {{10}^{-19}}}{20\times {{10}^{14}}}=6.4\times {{10}^{-34}}J $
Thus, work function,
$ W=h{{v}_{0}}=6.4\times {{10}^{-34}}\times 10\times {{10}^{14}} $
$ =4\times 1.6\times {{10}^{-19}}=4\,eV $