In a photoelectric effect experiment a metallic surface having work function $$2.2eV$$ is illuminated with a light of wavelength $$4000Ao$$. An incident photon makes a collision with a free electron that lies well inside the target metal and the electron makes one collision before being ejected from the surface. If $$10$$% of the energy of the electron is lost in the collision, The kinetic energy of the ejected electron is

Question

In a photoelectric effect experiment a metallic surface having work function $$2.2eV$$ is illuminated with a light of wavelength  $$4000Ao$$.  An incident photon makes a collision with a free electron that lies well inside the target metal and the electron makes one collision before being ejected from the surface. If $$10$$% of the energy of the electron is lost in the collision, The kinetic energy of the ejected electron is

Infinity Learn · Accepted Answer

Energy of photon $$=hc$$λ$$=124204000ev$$⇒$$hv=3.1evEnergy$$ lost in the collision $$=10100$$ x $$3.105$$ $$ev=0.31$$ evNow, $$hv=$$ϕ$$+k+Lost$$ energy⇒ $$3.1$$ $$=$$ $$2.2$$ $$+$$ $$KE$$ $$+$$ $$0.31$$ ⇒$$KE$$$$=0.59$$ ev

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