Home › UP Board Class 12 › physics › Dual Nature of Radiation and Matter › In Einstein's photoelectric explanation, what is…
In Einstein's photoelectric explanation, what is the fundamental interaction between light and a metal electron?
AMany photons combine their energies and collectively eject one electron
BOne photon transfers all its energy to one electron in a single, instantaneous event
CEach photon ejects multiple electrons as long as it has enough energy
DPhotons heat the metal first; thermal electrons then escape continuously
Answer & Solution
Correct answer: B. One photon transfers all its energy to one electron in a single, instantaneous event
1. Einstein's 1905 quantum hypothesis (NCERT §11.6) is that light energy is delivered in discrete packets called photons.
2. The photoelectric interaction is ONE photon to ONE electron, and the energy transfer is INSTANTANEOUS.
3. The ejected electron receives the photon's energy $h\nu$. Part of it $\phi_0$ goes into escaping the metal, the rest becomes kinetic energy: $K_{\max} = h\nu - \phi_0$.
4. Option A is the classical wave picture (which fails — it predicts a build-up time before emission, observed to be < $10^{-9}\,\text{s}$). Option C contradicts the experimental fact that intensity (more photons) raises current, not energy per electron. Option D is the thermionic emission picture, not photoelectric.
_Source: NCERT Class 12 Physics Part 2, Ch 11, §11.6 (Einstein's photoelectric equation), p. 7._
Related questions
An electron accelerated through 100 V has kinetic energy (in eV) equal toCathode rays were first identified byPhotoelectric emission was discovered by Heinrich Hertz during his experiments onThe threshold frequency ν₀ for a metal is related to its work function byThe graph of stopping potential V₀ vs frequency ν of incident light for a given metal isIf the frequency of incident light is doubled while the intensity is halved, the number ofMetals like Li, Na, K and Cs are photosensitive even to visible light because theyThe K_max of the emitted photoelectron is related to the stopping potential V₀ by