Answer:
Work function, [tex]W=5.83\times 10^{-19}\ J[/tex]
Explanation:
Given that,
Frequency of light, [tex]f=2.11\times 10^{-15}\ Hz[/tex]
Kinetic energy of the ejected electrons, [tex]E_k=5.83\times 10^{-19}\ J[/tex]
We need to find the work function of the gold. Let it is W.
Using Einstein's photoelectric equation as follows :
[tex]W=hf-E_K\\\\W=6.63\times 10^{-34}\times 2.11\times 10^{-15}-5.83\times 10^{-19}\\\\W=-5.83\times 10^{-19}\ J[/tex]
So, the work function of gold is [tex]5.83\times 10^{-19}\ J[/tex].
