You have three metals - lithium, aluminum, and mercury. Their work functions are: 2.30, 4.10eV, and 4.5eV respectively. Light with a frequency of 1 x 10^15 Hz is incident on all three metals. Determine (a) which metals will emit electrons and (b)the maximum kinetic energy for those that exhibit the effect.

1 answer

(a) The photon energy is
E = h*f = 6.62*10^-34 * 1*10^15 = 6.62*10^-19 J
Since 1 eV = 1.602*10^-19 J,
E = 4.13 eV.
Lithium and aluminum have work functions lower than that, and will emit photoelectrons

(b) The maximum photoelectron kinetic energy equals the photon energy (in eV) minus the work function