Answer:
The kinetic energy of the electron is [tex]4.98\times 10^{-18}\ J[/tex].
Explanation:
Given that,
The maximum wavelength of a photon is 430 nm.
The frequency of a photon is [tex]8.21\times 10^{15}\ Hz[/tex]
It is a case of photoelectric effect. The relation between the kinetic energy and the the work function as :
[tex]K=hf-W_o\\\\K=hf-h\dfrac{c}{\lambda}\\\\K=h(f-\dfrac{c}{\lambda})\\\\K=6.63\times 10^{-34}\times (8.21\times 10^{15}-\dfrac{3\times 10^8}{430\times 10^{-9}})\\\\K=4.98\times 10^{-18}\ J[/tex]
So, the kinetic energy of the electron is [tex]4.98\times 10^{-18}\ J[/tex].
