When the velocity of an electron increases, its de Broglie wavelength

Options

A. increases
B. decreases
C. remains same
D. may increase or decrease

Explanation

To solve the question regarding the relationship between the velocity of an electron and its de Broglie wavelength, we can follow these steps:

### Step 1: Understand the de Broglie Wavelength Formula
The de Broglie wavelength (λ) of a particle is given by the formula:
\[ \lambda = \frac{h}{mv} \]
where:
- \( \lambda \) is the de Broglie wavelength,
- \( h \) is Planck's constant,
- \( m \) is the mass of the particle (electron in this case),
- \( v \) is the velocity of the particle.

### Step 2: Analyze the Relationship
From the formula, we can see that the de Broglie wavelength is inversely proportional to the velocity of the particle. This means that as the velocity (v) increases, the wavelength (λ) decreases.

### Step 3: Conclusion
Therefore, when the velocity of an electron increases, its de Broglie wavelength decreases.

### Final Answer
When the velocity of an electron increases, its de Broglie wavelength decreases.

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