The de-Broglie equation treats an electron to be

Options

A. a particle
B. a wave
C. ray
D. both (1) and (2)

Answer

To solve the question regarding what the de-Broglie equation treats an electron to be, we can follow these steps:

### Step 1: Understand the de-Broglie Equation
The de-Broglie equation is given by:
\[ \lambda = \frac{h}{mv} \]
where:
- \(\lambda\) is the wavelength,
- \(h\) is Planck's constant,
- \(m\) is the mass of the electron, and
- \(v\) is the velocity of the electron.

### Step 2: Recognize the Dual Nature of Matter
The de-Broglie equation suggests that particles such as electrons exhibit both wave-like and particle-like properties. This concept is known as the dual nature of matter.

### Step 3: Identify the Implication of the Equation
According to the de-Broglie hypothesis, every moving particle or object has an associated wavelength. For electrons, this means that they can behave like waves under certain conditions, which is a fundamental principle in quantum mechanics.

### Step 4: Conclude the Answer
Therefore, the de-Broglie equation treats an electron as having dual nature, meaning it behaves both as a particle and as a wave.

### Final Answer
The de-Broglie equation treats an electron to be both a particle and a wave.

---