1. The work function of electrons from gold is 4.76 eV. Determine the red border of the photoelectric effect for gold.
The red border of the photoelectric effect is the minimum frequency of light required to eject electrons from a metal surface. This can be calculated using the equation:
E = hf
Where:
E = energy of the photon (red border)
h = Planck's constant = 4.1357 x 10^-15 eV·s
f = frequency of the photon
To determine the red border, we need to convert the work function from electron volts (eV) to joules:
4.76 eV * 1.602 x 10^-19 J/eV = 7.62 x 10^-19 J
Now we can use this energy to calculate the frequency of the photon:
7.62 x 10^-19 J = (4.1357 x 10^-15 eV·s) * f
f = 1.84 x 10^14 Hz
Therefore, the red border of the photoelectric effect for gold is approximately 1.84 x 10^14 Hz.