Introduction 

De Broglie wavelength is a wave-particle duality concept which defines the wave nature of particles. Louis de Broglie, in 1924, introduced the concept that each moving particle has an associated wavelength.

Formula

Einstein explained the momentum (p) of a photon with the given formula

p=m                                                                                        …..(1)

c = speed of light.

The energy (E) of a photon is given as

                                                                            .…(2)

where,

• h= Planck's constant

•  λ = wavelength of light

Substituting eq1 and eq 2 we get,

Rewriting equation ,

Here,

• m is the mass

• v is the velocity

Solved Examples

Question 1: Calculate the wavelength of an electron moving at a velocity ofms-1.

Solution:

Given:

Velocity of the electron 

Mass of electron=

Planck's Constant, h =

The de-Broglie wavelength is defined as λ = h/mv

 

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