The answer to your question is NO. Technically if we use Einstein’s equation, then all photoelectrons should be emitted with same kinetic energy.

When light falls on a metal surface, the maximum kinetic energy of the emitted photo-electrons depends upon the frequency of the incident light.

No, it is not necessary that all the ejected electrons will have the same energy.

That fact, combined with the random messiness inherent in thermodynamics, means that no two electrons will have the same kinetic energy before the photons hit them. Thus, each electron will have a slightly different kinetic energy after it gets ejected from the metal.

The kinetic energy of emitted photoelectrons should increase with the light amplitude. The rate of electron emission, which is proportional to the measured electric current, should increase as the light frequency is increased.

The emitted electrons will have maximum kinetic energy when they are emitted directly from the surface. Other ejected electrons have energies lower than this maximum value because some energy is required to bring the electrons to the surface.

The kinetic energy of an ejected electron equals the photon energy minus the binding energy of the electron in the specific material. An individual photon can give all of its energy to an electron. The photon’s energy is partly used to break the electron away from the material.

The answer is that each emitted electron has absorbed one photon, increasing the intensity just increases the number of photons (we expect more electrons but we don’t expect their maximum kinetic energy to change). The electrons absorb the energy from the photons, and are ejected from the metal surface.

EACH ELECTRON CAN ABSORB ONLY ONE PHOTON AT ANY ONE TIME. Increasing intensity means more photons (per second, per m2) so results in more electrons emitted (per second) but no change to max KE. Increasing frequency means more energy per photon so higher max KE of electrons but same rate of electron emission.

The maximum number of electrons released would be the total energy divided by the work function–just enough energy to release them. 3.39 x 10-7 / 2.37 x 10-18 = 1.43 x 1011 electrons.