do all electrons ejected from a metal surface have the same kinetic energy?

No, it depends on the incoming wavelength (usually never monochromatic), and which bound electron was released. The outgoing electrons are distributed in a Poisson distribution

No, not all electrons ejected from a metal surface will have the same kinetic energy. The kinetic energy of ejected electrons is determined by the energy provided in the form of photons (light) or other particles (e.g., electrons) that hit the metal surface. The phenomenon in which electrons are emitted from a metal surface due to the absorption of energy is called the photoelectric effect.

The kinetic energy of an ejected electron depends on a few factors:

1. Photon Energy: The energy of the incoming photons determines the maximum kinetic energy of the ejected electrons. Higher energy photons can release electrons with greater kinetic energy.

2. Work Function: Each metal has a characteristic work function, which is the minimum amount of energy required to remove an electron from its surface. If the photon energy is less than the work function, no electrons will be ejected. Only photons with energy equal to or greater than the work function can release electrons.

3. Conservation of Energy: The total energy of the system must be conserved. If the photon's energy is greater than the work function, then the excess energy will be converted into the kinetic energy of the ejected electron.

Overall, the kinetic energy of the ejected electrons can vary depending on the energy of the incident photons and the specific metal involved.