Match List-I with List-II
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
Each graph follows from the laws of the photoelectric effect and the de Broglie relation.
(A) Variation of photoelectric current (Y-axis) with intensity (X-axis) of incident radiation. — this matches (IV), the straight line through the origin: the photocurrent is proportional to the intensity.
(B) Variation of stopping potential (Y-axis) with frequency (X-axis) of incident radiation. — this matches (I), the straight line meeting the frequency axis at the threshold frequency \( \nu_0 \), by Einstein’s equation:
\( \displaystyle V_0 = \frac{h}{e}\,\nu - \frac{\phi_0}{e} \)
(C) Variation of photoelectric current (Y-axis) with anode potential (X-axis). — this matches (II), the curve that starts at the negative stopping potential and levels off at the saturation current.
(D) Variation of de-Broglie wavelength (Y-axis) with its particle momentum (X-axis). — this matches (III), the falling curve (a rectangular hyperbola), since the wavelength is inversely proportional to the momentum:
\( \displaystyle \lambda = \frac{h}{p} \)
NCERT (2026-27):
Effect of Potential on Photoelectric Current – “… It is found that the photoelectric current increases with increase in positive (accelerating) potential. At some stage, for a certain positive potential of plate A, all the emitted electrons are collected by the plate A and the photoelectric current becomes maximum or saturates.”
Effect of Frequency of Incident Radiation on Stopping Potential – “… (i) For a given photosensitive material and frequency of incident radiation (above the threshold frequency), the photoelectric current is directly proportional to the intensity of incident light (Fig. 11.2).”
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. Above the threshold frequency, the stopping potential or equivalently the maximum kinetic energy of the emitted photoelectrons increases linearly with the frequency of the incident radiation, but is independent of its intensity (Fig. 11.5).”
Wave Nature of Matter – “… De Broglie proposed that the wave length \( \lambda \) associated with a particle of momentum p is given as
\( \displaystyle \lambda = \frac{h}{p} = \frac{h}{mv} \qquad (11.5) \)”