1.

de-Broglie equation is:1. \(\lambda = \frac {mv} h\)2. \(\lambda = \frac h {mv}\)3. λ = hmv4. \(\lambda = \frac {hv} m\)

Answer» Correct Answer - Option 2 : \(\lambda = \frac h {mv}\)

Concept:

Matter waves and De Broglie Wavelength:

  • Matter waves: The wave associated with particles in motion is called matter waves.
  • Louis de Broglie, a famousFrench physicist,proposed that not only light possesses both wave and particle properties, but rather particles with mass - such as electrons - do as well.
  • The wavelength of material waves isalso known as thede Broglie wavelength.It is given as

\(\lambda = \frac{h}{p}\)

h is Planck's constant, p is momentum

This equation is also known asde Broglie Equation.

Explanation:

  • For a body in motion, the momentum is given as p = mv
  • m is mass, v is the velocity
  • So, the de Broglie equation in terms of m and v can be written as

\(\lambda = \frac{h}{mv}\)



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