De Broglie Wavelength Calculator

Calculate the de Broglie wavelength of a particle: lambda = h / (m * v).

kg
m/s

De Broglie Wavelength

0.00000000072741 m

Wavelength (nm)0.7274 nm

सूत्र

## De Broglie Wavelength All matter has wave-like properties. The de Broglie wavelength describes the wave nature of particles. ### Formula **lambda = h / (m * v) = h / p** where h = 6.626 x 10^-34 J·s is Planck's constant and p = mv is the momentum. Heavier or faster particles have shorter wavelengths.

हल किया गया उदाहरण

An electron (m = 9.109e-31 kg) traveling at 1e6 m/s.

  1. 01lambda = h / (m*v)
  2. 02lambda = 6.626e-34 / (9.109e-31 * 1e6)
  3. 03lambda = 6.626e-34 / 9.109e-25
  4. 04lambda = 7.274e-10 m = 0.7274 nm

अक्सर पूछे जाने वाले प्रश्न

Why don't we notice the wave nature of everyday objects?

The wavelength is inversely proportional to mass and velocity. For macroscopic objects, lambda is incomprehensibly tiny (far smaller than an atomic nucleus).

How is this used in electron microscopy?

Fast electrons have wavelengths much smaller than visible light, allowing electron microscopes to resolve features at the atomic scale.

Who was Louis de Broglie?

A French physicist who proposed in 1924 that all matter has wave properties. He won the Nobel Prize in 1929 for this insight.

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