For two different photosensitive materials having work function ϕ and 2 ϕ respectively, are illuminated with light of sufficient energy to emit electrons. If the graph of stopping potential versus fre

Question

For two different photosensitive materials having work function ϕ and 2 ϕ respectively, are illuminated with light of sufficient energy to emit electrons. If the graph of stopping potential versus frequency is drawn, for these two different photosensitive materials, the ratio of slope of graph for these two materials is

TestHub · Accepted Answer

According to Einstein's photoelectric equation,

$e V_{s} = h ν - ϕ$

$V_{s} = \frac{h}{e} ν - \frac{ϕ}{e}$

Comparing this with the equation of a straight line $y = m x + c$ , the slope of the stopping potential $V_{s}$ versus frequency $ν$ graph is given by $m = \frac{h}{e}$ .

Since $h$ and $e$ are universal constants, the slope is independent of the nature of the material and its work function.

Therefore, the slope is the same for both materials, and their ratio is $1 : 1$ .

Answer: $1 : 1$

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