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Wave Optics

Question
CBSEENPH12038488

The energy and momentum of an electron are related to the frequency and wavelength of the associated matter wave by the relations
E = hv,  p = hλ
But while the value of A is physically significant, the value of v (and therefore, the value of the phase speed v λ) has no physical significance. Why?

Solution
For a moving particle,  

De-broglie wavelength is given by, λ= hp or, p = hλ 
p is momentum. 

Energy of a photon is, E=  = hcλ  

Therefore, 
Energy of a moving particle = p22m=hλ22m= h22 λ2 m  

From the above relation we can see that, ν has no direct significance on relation of E and p. 

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