Analysis of Statements

Step 1: Evaluate Statement-1

The Davisson-Germer experiment (1927) demonstrated electron diffraction when electrons were scattered from a nickel crystal. The observed diffraction pattern confirmed that electrons exhibit wave-like behavior, establishing their wave nature. Therefore, Statement-1 is true.

Step 2: Evaluate Statement-2

Wave nature implies that particles can exhibit interference and diffraction phenomena. For electrons, this means they can produce interference patterns (as in double-slit experiments) and diffraction patterns (as in crystal scattering). Thus, Statement-2 is also true.

Step 3: Check if Statement-2 explains Statement-1

Statement-2 provides the general principle that wave nature leads to interference/diffraction. The Davisson-Germer experiment specifically utilized this principle—by observing electron diffraction, it empirically confirmed wave nature. Hence, Statement-2 correctly explains Statement-1.

Final Answer: Statement-1 is true, Statement-2 is true and Statement-2 is the correct explanation for Statement-1.

Related Concepts

Wave-Particle Duality: Particles like electrons exhibit both particle and wave characteristics. The de Broglie wavelength is given by:

$\lambda =\frac{h}{p}$, where $h$ is Planck's constant and $p$ is momentum.

Diffraction Condition: For constructive interference in a crystal (Bragg's law):

$2d\sin \theta =n\lambda$, where $d$ is interplanar spacing and $\theta$ is the angle.

Key Formulae:

• de Broglie wavelength: $\lambda =\frac{h}{mv}$
• Bragg's law: $2d\sin \theta =n\lambda$