Match List I with List II
| LIST I | LIST II | ||
|---|---|---|---|
| A. | Maximum Kinetic energy of photoelectron | I. | No emission of electrons |
| B. | Photoelectric current | II. | slope of kinetic energy of electron -frequency graph |
| C. | Frequency of radiation (\( \gamma \)) < threshold frequency (\( \gamma_0 \)) | III. | independent of intensity |
| D. | Planck's constant | IV. | independent of frequency |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → A-III, B-IV, C-I, D-II
All four entries follow from Einstein’s photoelectric equation, \( K_{\max} = h\nu - \phi_0 \), where each photon gives its energy to one electron.
(A) Maximum Kinetic energy of photoelectron — this matches (III) independent of intensity. \( K_{\max} \) depends only on the frequency of the light; a higher intensity means more photons, not more energetic ones.
(B) Photoelectric current — this matches (IV) independent of frequency. Above the threshold, the (saturation) current depends on the number of photons per second, that is on the intensity, not on the frequency.
(C) Frequency of radiation (\( \gamma \)) < threshold frequency (\( \gamma_0 \)) — this matches (I) No emission of electrons. Below the threshold frequency a photon cannot supply the work function, however intense the light.
(D) Planck's constant — this matches (II) slope of kinetic energy of electron -frequency graph. \( K_{\max} = h\nu - \phi_0 \) is a straight line in \( \nu \) with slope h.
NCERT (2026-27):
Effect of Frequency of Incident Radiation on Stopping Potential – “… We obtain different values of stopping potential but the same value of the saturation current for incident radiation of different frequencies.”
Effect of Frequency of Incident Radiation on Stopping Potential – “… (iii) For a given photosensitive material, there exists a certain minimum cut-off frequency of the incident radiation, called the threshold frequency, below which no emission of photoelectrons takes place, no matter how intense the incident light is.”
Effect of Potential on Photoelectric Current – “… In other words, the maximum kinetic energy of photoelectrons depends on the light source and the emitter plate material, but is independent of intensity of incident radiation.”