1. What is De Broglie Wavelength?

The De Broglie wavelength is the wavelength associated with a particle's momentum, demonstrating wave-particle duality. It shows that matter has wave-like properties.

2. How Does the Calculator Work?

The calculator uses the De Broglie equation:

Where:

• \( \lambda \) — Wavelength (meters)
• \( h \) — Planck's constant (6.626 × 10^-34 J·s)
• \( p \) — Momentum (kg·m/s)

Explanation: The equation relates the wavelength of a particle to its momentum, with Planck's constant as the proportionality factor.

3. Importance of De Broglie Wavelength

Details: This concept is fundamental in quantum mechanics, explaining phenomena like electron diffraction and the behavior of particles at atomic scales.

4. Using the Calculator

Tips: Enter the particle's momentum in kg·m/s. The value must be positive and non-zero.

5. Frequently Asked Questions (FAQ)

Q1: What particles exhibit De Broglie wavelength?
A: All matter has wave-like properties, but it's most noticeable for small particles like electrons.

Q2: How does wavelength change with momentum?
A: Wavelength is inversely proportional to momentum - higher momentum means shorter wavelength.

Q3: What's the wavelength of macroscopic objects?
A: For everyday objects, the wavelength is extremely small and not observable.

Q4: Can this be used for photons?
A: Photons are massless particles, but a similar concept applies through their momentum.

Q5: What are practical applications?
A: Electron microscopy, quantum computing, and understanding atomic structure all rely on this principle.