The correct expression for the de-Broglie relationship is

Options

A. `Lambda=h/mv`
B. `p=h/mv`
C. `lambda=v/p`
D. `lambda=h/mp`

Answer

To derive the correct expression for the de-Broglie relationship, we will follow these steps:

### Step 1: Understand the de-Broglie Hypothesis
The de-Broglie hypothesis states that particles, such as electrons, exhibit wave-like properties. This leads to the concept of wavelength associated with a moving particle.

### Step 2: Write the de-Broglie Equation
The de-Broglie wavelength (λ) is given by the formula:
\[ \lambda = \frac{h}{p} \]
where:
- \( \lambda \) is the wavelength,
- \( h \) is the Planck constant,
- \( p \) is the momentum of the particle.

### Step 3: Define Momentum
Momentum (p) of a particle is defined as the product of its mass (m) and velocity (v):
\[ p = mv \]

### Step 4: Substitute Momentum in the de-Broglie Equation
Substituting the expression for momentum into the de-Broglie equation gives:
\[ \lambda = \frac{h}{mv} \]

### Step 5: Conclusion
The correct expression for the de-Broglie relationship is:
\[ \lambda = \frac{h}{mv} \]