Question

Match List I with List II:

List I	List II
A. $E = h\nu$  B. Diffraction and Interference  C. $\lambda = \frac{h}{p}$  D. Compton effect	I. de Broglie wavelength  II. Particle nature of light  III. Wave nature of light  IV. Energy of photon

• A. A-IV, B-I, C-II, D-III
• B. A-I, B-IV, C-III, D-II
• C. A-IV, B-III, C-II, D-I
• D. A-IV, B-III, C-I, D-II

Hint:

To remember the "nature" of light: Wave nature is proved by Interference/Diffraction/Polarization. Particle nature is proved by Photoelectric effect/Compton effect.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
This question covers the dual nature of radiation and matter, mapping mathematical expressions and physical phenomena to their underlying theories.

Step 2: Detailed Explanation:

• A $\rightarrow$ IV: $E = h\nu$ is the fundamental equation for the Energy of a photon, where $h$ is Planck's constant.
• B $\rightarrow$ III: Diffraction and Interference are phenomena that can only be explained if light is treated as a wave.
• C $\rightarrow$ I: $\lambda = h/p$ is the de Broglie wavelength formula, relating the momentum of a particle to its wavelength.
• D $\rightarrow$ II: The Compton effect involves the scattering of a photon by an electron, providing definitive proof for the particle nature of light.

Step 3: Final Answer:
The correct matching is A-IV, B-III, C-I, D-II.