Question

What is the longest-wavelength EM radiation that can eject a photoelectron from silver, given that the binding energy is 4.73 eV?

a) 656 nm
b) 263 nm
c) 1340 nm
d) 833 nm

Answer 1

The longest-wavelength EM radiation that can eject a photoelectron from silver, given a binding energy of 4.73 eV, is 263 nm.

Step-by-step explanation:

The longest-wavelength EM radiation that can eject a photoelectron from silver, given a binding energy of 4.73 eV, can be determined using the relation:

Energy of photon = Binding energy + Work function

The longest-wavelength EM radiation corresponds to the lowest energy photon that can eject a photoelectron. The work function for silver is given as 4.73 eV, which is equal to the binding energy. Therefore, the energy of the photon is 4.73 eV. To convert this energy into wavelength, we can use the equation:

E = hc/λ

Here, E is the energy of the photon, h is Plank's constant, c is the speed of light, and λ is the wavelength. Rearranging the equation to solve for λ, we have:

λ = hc/E

Substituting the values for h, c, and E, we can calculate the longest-wavelength EM radiation that can eject a photoelectron from silver.

The correct answer is 263 nm (option b).