de-Broglie wave_phy_5th-sem_bsc

Q/  what is de-broglie wave?

first defination of de-Broglie wave / or matter waves:-

=> According to de-Broglie a moving particle, whatever its nature, has a wave property associated with it. He proposed that the wavelength λ associated with any moving particle of mommentum p is given by 

  λ=h/p

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for more look below

second lets derive the formula of the de-Broglie wavelength

=>  

 momentum of a photon of light having frequency ህ is given by

p=hህ/c

but we know that

ህ=c/λ

therefore the momentum of photon in terms of wavelength can be expressed as

p=h/λ or

λ=h/p or 

λ=h/mv

if KE is the kinetic energy of the material particle then momentum is given by 

p=√(2m KE )

therefore the de Broglie wavelength of material particle is given by 

λ=h/√(2m KE )

theird: de Broglie wavelength of charge particle lets have a look

  

if a charge particle having charge q and accelerated by potential difference V, then the kinetic energy is given by 

KE= qV

therefore de Broglie wavelength assocoated with any charge particle is given by 

λ=h/√(2m KE )