In a photoelectric experiment, electrons are ejected from metal X and Y by light of intensity I and frequency f The potential difference V required to stop the electrons is measured for various frequencies. If Y has a greater work function than which one of the following graphs best illustrates the expected results?

Moderate

Solution

According to Einstein photoelectric effect formula, we have
$h f = ϕ + e V$ , where $ϕ$ is the work functional of metal.
Work function of a metal is defined as the minimum energy required to eject an electron from its surface with zero kinetic energy.
According to question,
$ϕ_{Y} > ϕ_{X}$
${(h f_{0})}_{Y} > {(h f_{0})}_{X}$
[f0 = Threshold frequency]
Hence, graph with higher threshold frequency for Y is the correct option.

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