question_answer

Plot a graph showing the variation of stopping potential with the frequency of incident radiation for two different photosensitive materials having work functions \[{{W}_{1}}\] and \[{{W}_{2}}({{W}_{1}}>{{W}_{2}})\]. On what factors does the (i) slope and intercept of the lines depend?                              

Answer:

                The graph of \[{{V}_{0}}\] versus \[v\] is shown in Fig. (i) Slope of \[{{V}_{0}}-v\]graph \[=\frac{\Delta V}{\Delta v}=\frac{h}{e}\]            \[[\because e\Delta V=h\Delta v]\] Clearly, slope of \[{{V}_{0}}-v\]graph depends on h and e. It has same value for both materials. (ii) Intercept of potential axis \[=-\frac{W}{e}=-\frac{h{{v}_{0}}}{e},\] which depends on the work function of the material.