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III Long Answer Questions · Q9

Q.Explain experimentally observed facts of photoelectric effect with the help of Einstein's explanation.

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Step 1. Since each absorbed photon liberates exactly one electron, increasing the intensity (more photons per second) increases the number of electrons emitted per second proportionally -- exactly matching the observed law that photocurrent is proportional to intensity.

Step 2. From Kmax=hν−ϕ0K_{max}=h\nu-\phi_0, the maximum kinetic energy depends only on the frequency ν\nu of the light, since intensity does not appear in the formula at all -- matching the observed independence of KmaxK_{max} from intensity.

Step 3. Because a single photon must carry at least energy ϕ0\phi_0 to free an electron at all, there is a minimum frequency ν0=ϕ0/h\nu_0=\phi_0/h below which no photon, however many arrive, has enough energy per photon to eject an electron -- matching the observed threshold-frequency law.

Step 4. Because the photon's entire energy is transferred to a single electron in one complete, instantaneous absorption event (not accumulated gradually as in the wave picture), there is no measurable time lag between illumination and electron ejection -- matching the observed instantaneous emission. …

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