1. What is the De Broglie Wavelength?

The De Broglie wavelength is a concept in quantum mechanics that states that all matter exhibits wave-like properties. It relates the wavelength of a particle to its momentum, demonstrating the wave-particle duality of matter.

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)
• \( m \) — Mass of the particle (kilograms)
• \( v \) — Velocity of the particle (meters/second)

Explanation: The equation shows that the wavelength of a particle is inversely proportional to both its mass and velocity.

3. Importance of De Broglie Wavelength

Details: The De Broglie hypothesis was fundamental in the development of quantum mechanics and helps explain phenomena such as electron diffraction and the behavior of particles at atomic scales.

4. Using the Calculator

Tips: Enter the mass in kilograms and velocity in meters per second. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of Planck's constant in this formula?
A: Planck's constant (h) is a fundamental constant in quantum mechanics that relates the energy of a photon to its frequency and appears in many quantum mechanical equations.

Q2: For which particles is the De Broglie wavelength most noticeable?
A: The wave nature of matter is most observable for very small particles like electrons, protons, and neutrons, where the wavelength is comparable to atomic dimensions.

Q3: Can we observe wave properties in macroscopic objects?
A: While all matter has wave properties, the wavelengths of macroscopic objects are extremely small and undetectable with current technology.

Q4: How was the De Broglie hypothesis experimentally verified?
A: The Davisson-Germer experiment in 1927 demonstrated electron diffraction, confirming the wave nature of electrons and validating De Broglie's hypothesis.

Q5: What are some practical applications of this concept?
A: Electron microscopes, which use the wave properties of electrons, provide much higher resolution than light microscopes and are used in various scientific fields.