Answer:
W = 2 eV
Step-by-step explanation:
Given that,
The wavelength of a photon = 455 nm
The kinetic energy of a photon, K = 0.73 eV
We need to find the work function of the electron. It can be solved using Einstein's equation such that,
![W=E-K](https://img.qammunity.org/2022/formulas/physics/college/jn024fiaes5fkoiq3ocqkbjium3fj6htee.png)
E is the energy of the photon
So,
![W=(hc)/(\lambda)-K\\\\W=(6.63* 10^(-34)* 3* 10^8)/(455* 10^(-9)* 1.6* 10^(-19))-0.73\\\\W= 2.73\ eV-0.73\ eV\\\\W=2\ eV](https://img.qammunity.org/2022/formulas/physics/college/opr4dvx88pk6k2z7j498melzux8moed4zt.png)
So, the work function of the metal is 2 eV.