The wave nature of electron can be explained by

Question

Accepted Answer

The wave nature of electrons is best explained by crystal diffraction, which is why Option 4 is the correct answer. Here's a detailed explanation:

1. **Crystal Diffraction (Option 4):** 
   - Crystal diffraction is a phenomenon that occurs when waves, such as X-rays or electron waves, encounter a crystal lattice. The regular arrangement of atoms in a crystal acts as a diffraction grating, causing the waves to interfere and produce a diffraction pattern. This pattern can be analyzed to determine the wavelength of the waves.
   - The wave nature of electrons was experimentally confirmed by the Davisson-Germer experiment, which demonstrated that electrons can produce diffraction patterns when they are scattered off a crystal surface. This experiment provided direct evidence of the wave-like behavior of electrons, supporting the de Broglie hypothesis that particles such as electrons have wave properties.

2. **Photoelectric Effect (Option 1):**
   - The photoelectric effect involves the emission of electrons from a material when it is exposed to light of sufficient energy. This phenomenon is best explained by the particle nature of light, as described by Einstein, where light is considered to be made up of particles called photons. The photoelectric effect does not provide evidence for the wave nature of electrons.

3. **Black Body Radiation (Option 2):**
   - Black body radiation refers to the emission of electromagnetic radiation by an idealized object that absorbs all incident radiation. The explanation of black body radiation led to the development of quantum mechanics, particularly Planck's law, which describes the quantization of energy levels. However, it does not directly relate to the wave nature of electrons.

4. **Compton Effect (Option 3):**
   - The Compton effect involves the scattering of X-rays by electrons, resulting in a change in wavelength of the X-rays. This phenomenon is explained by the particle nature of light and the conservation of energy and momentum. It provides evidence for the particle-like properties of photons rather than the wave nature of electrons.

In summary, crystal diffraction is the correct explanation for the wave nature of electrons, as it directly demonstrates their ability to produce diffraction patterns, a characteristic behavior of waves. The other options are related to different phenomena that do not specifically address the wave nature of electrons.