A student performs an experiment on the photoelectric effect,

Question:

A student performs an experiment on the photoelectric effect, using two materials A and B. A plot of Vstop vs ν is given in the figure.

(i) Which material A or B has a higher work function?

(ii) Given the electric charge of an electron = 1.6 × 10–19 C, find the value of h obtained from the experiment for both A and B. Comment on whether it is consistent with Einstein’s theory

Solution:

(i) The threshold frequency of A is

vOA = 5 × 1014 Hz

The threshold frequency of B is

vOB = 10 × 1014 Hz

Work function is ϕ = hv0

ϕOA/ ϕOB = 5 × 1014/10 × 1014 < 1

ϕOA < ϕOB

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