1. What is the De Broglie Wavelength Formula?

The De Broglie wavelength formula describes the wave nature of particles. It states that any particle with momentum has an associated wavelength, connecting classical mechanics with quantum mechanics.

2. How Does the Calculator Work?

The calculator uses the De Broglie wavelength formula:

Where:

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

Explanation: The formula demonstrates the wave-particle duality, showing that matter exhibits both particle-like and wave-like properties.

3. Importance of De Broglie Wavelength Calculation

Details: Calculating De Broglie wavelength is fundamental in quantum mechanics for understanding particle behavior at atomic and subatomic scales, electron microscopy, and quantum tunneling phenomena.

4. Using the Calculator

Tips: Enter Planck's constant in J s (default value provided) and momentum in kg m/s. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of De Broglie wavelength?
A: It demonstrates that all matter has wave properties, fundamentally changing our understanding of physics at quantum scales.

Q2: For which particles is this formula applicable?
A: The formula applies to all particles with mass, including electrons, protons, atoms, and even macroscopic objects.

Q3: Why is the wavelength so small for everyday objects?
A: Because Planck's constant is extremely small, the wavelength becomes significant only for particles with very small momentum (atomic/subatomic particles).

Q4: How is this used in electron microscopy?
A: Electrons accelerated to high velocities have very short wavelengths, allowing much higher resolution than light microscopy.

Q5: What's the relationship with Heisenberg's uncertainty principle?
A: The wave nature of particles described by De Broglie wavelength is fundamentally related to the uncertainty principle in quantum mechanics.