Sketch the graphs showing variation of stopping potential with frequency of incident radiations for two photosensitive materials A and B having threshold frequencies *v*_{A} > *v*_{B}.

(i) In which case is the stopping potential more and why?

(ii) Does the slope of the graph depend on the nature of the material used? Explain.

#### Solution

(i)

Graph between stopping potential and the frequency of the incident radiation:

From the graph, we note:

(i) The stopping potential is inversely proportional to the threshold frequency. Hence the stopping potential is higher for metal B.

(ii) The slope of the graph does not depend on the nature of the material used.

As we know,**K _{max}= hv − ϕ_{0} = eV_{0}**

_{Dividing the whole equation by e , we get}

`(hv)/e-phi_0/e=V_0`

From the above equation, the slope of the graph is `h/e`(on comparing with the straight line equation). Thus, we see that the slope is independent of the nature of the photoelectric material.