De Broglie relation is represented by ______.

Explanation:​

de Broglie wavelength of electrons:

•  Louis de Broglie theorized that not only light possesses both wave and particle properties, but rather particles with mass - such as electrons - do as well,i.e. matter has dual nature.
• The wavelength of material waves is also known as the de Broglie wavelength.
• de Broglie wavelength (λ) of electrons can be calculated from Plancks constant h divided by the momentum of the particle
• So, according to de Broglie, every object has a dual nature- a particle and a wave nature whose wavelength is given by

​

or 

where m is the mass of the particle,v is the velocity of the particles and h is the Planck's constant.

• The wave nature is predominant in particles of small mass like electrons and negligible in bodies of large masses.
• Waves are dispersed over a wide region and not confined.

Hence, De Broglie relation is represented by λ = h/p.

Important Points

• The wave associated with each moving particle is called matter waves.
• Characteristics of Matter waves:
  1. ​​The lighter the particle, the greater is the de Broglie wavelength.
  2. The higher the velocity of the particle, the smaller is its de Broglie wavelength.
  3. The de Broglie wavelength of a particle is independent of the charge or nature of the particle.
  4. The matter waves are not electromagnetic in nature. Only charged particles produce electromagnetic waves.