If the frequency of incident light on a metal surface is doubled for the same intensity . What is the change observed in Kinetic Energy of the photoelectrons emitted?
Yes Kinetic energy of ejected electron depends on the frequency of incident light photon.
Photoelectric effect is a photon-electron interaction. The energy of photon is dependent on its frequency,
Energy of photon (hv) is spend in ejecting the electron from its surface and imparting kinetic energy to the electron.
hv = Work function + KE1
h(2v) = Work function + KE2
KE2 - KE1 = hv
Thus if frequency v is doubled, KE of electron will increase by an amount hv. Work function being constant for a particular metal surface.