A metal surface is irradiated with light of wav... - SS2 Physics Modern Physics - Quantum Mechanics Question

To calculate the maximum kinetic energy of the emitted electrons, we need to convert the given wavelength to frequency using the formula: f = c / λ, where f is the frequency, c is the speed of light (3.0 × 108 m/s), and λ is the wavelength.

f = (3.0 × 108 m/s) / (500 × 10-9 m) = 6.0 × 1014 Hz

Now, we can calculate the energy of the incident photons using the formula: E = hf.

E = (6.63 × 10-34 J·s) × (6.0 × 1014 Hz) = 3.98 × 10-19 J

The maximum kinetic energy of the emitted electrons can be calculated by subtracting the work function from the energy of the incident photons:

Kinetic energy = E - Work function

Kinetic energy = (3.98 × 10-19 J) - (2.0 eV × 1.6 × 10-19 J/eV) 

= 1.38 × 10-19 J