de-Broglie equation describes the relationship of wavelength associated with the motion of an electron and its

Options

A. Mass
B. Energy
C. Momentum
D. Charge

Explanation

To solve the question regarding the de-Broglie equation and its relationship with the wavelength associated with the motion of an electron, we can follow these steps:

### Step-by-Step Solution:

1. **Understand de-Broglie's Hypothesis**:
- Louis de Broglie proposed that particles, such as electrons, exhibit wave-like properties. This means that every moving particle has an associated wavelength.

2. **Identify the de-Broglie Wavelength Formula**:
- The de-Broglie wavelength (λ) is given by the formula:
\[ \lambda = \frac{h}{p} \]
- Where:
- \( \lambda \) = de-Broglie wavelength
- \( h \) = Planck's constant (approximately \( 6.626 \times 10^{-34} \, \text{Js} \))
- \( p \) = momentum of the particle

3. **Define Momentum**:
- Momentum (p) of an object is defined as the product of its mass (m) and velocity (v):
\[ p = mv \]

4. **Substitute Momentum into the de-Broglie Equation**:
- By substituting the expression for momentum into the de-Broglie wavelength formula, we get:
\[ \lambda = \frac{h}{mv} \]
- This shows how the wavelength is inversely proportional to both the mass and velocity of the electron.

5. **Conclusion**:
- The de-Broglie equation describes the relationship of the wavelength associated with the motion of an electron to its momentum, which is dependent on its mass and velocity.

### Final Answer:
The de-Broglie equation describes the relationship of wavelength associated with the motion of an electron and its momentum, which is given by the formula \( \lambda = \frac{h}{mv} \).