Let's match each item in List I with its corresponding concept in List II based on the principles of physics:
- A. \(E = h\nu\)
- This equation represents the energy of a photon, where \( E \) is the energy, \( h \) is Planck's constant, and \( \nu \) is the frequency of the light.
- Therefore, this matches with IV. Energy of photon.
- B. Diffraction and Interference
- Both diffraction and interference are phenomena that explain the wave nature of light. They occur when light waves overlap and the resultant pattern is due to wave superposition.
- Therefore, this matches with III. Wave nature of light.
- C. \(λ = \frac{h}{p}\)
- This expression is known as the de Broglie wavelength formula, where \( \lambda \) is the wavelength, \( h \) is Planck's constant, and \( p \) is the momentum of the particle.
- Therefore, this matches with I. de Broglie wavelength.
- D. Compton effect
- The Compton effect demonstrates the particle nature of light. It involves the scattering of photons by electrons, resulting in a change in wavelength that confirms the particle-like properties of light.
- Therefore, this matches with II. Particle nature of light.
Based on the correct matches, the answer is: A-IV, B-III, C-I, D-II.