Which of the following scientists demonstrated the wave nature of electron ?

Options

A. Schrodinger
B. de-Broglie
C. Davisson
D. Heisenberg

Answer

To answer the question "Which of the following scientists demonstrated the wave nature of electrons?", we will follow these steps:

### Step-by-Step Solution:

1. **Identify the Scientist**: The scientist who demonstrated the wave nature of electrons is Louis de Broglie. He proposed the concept that particles, such as electrons, exhibit both wave-like and particle-like properties.

2. **Understand De Broglie's Hypothesis**: De Broglie suggested that every moving particle or object has an associated wave. This is known as wave-particle duality. For electrons, this means that they can behave like waves under certain conditions.

3. **Derive the De Broglie Wavelength**: The relationship between the wavelength (λ) of a particle and its momentum (p) is given by the equation:
\[ \lambda = \frac{h}{p} \]
where \(h\) is Planck's constant and \(p\) is the momentum of the particle.

4. **Express Momentum**: The momentum (p) of an electron can be expressed as:
\[ p = mv \]
where \(m\) is the mass of the electron and \(v\) is its velocity.

5. **Combine the Equations**: By substituting the expression for momentum into the de Broglie wavelength equation, we get:
\[ \lambda = \frac{h}{mv} \]
This shows how the wavelength of an electron is inversely proportional to its momentum.

6. **Conclusion**: Therefore, the correct answer to the question is that Louis de Broglie is the scientist who demonstrated the wave nature of electrons.

### Final Answer:
The scientist who demonstrated the wave nature of electrons is **Louis de Broglie**.

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