a particular accelerator can accelerate electrons to an energy of 32 gev. what is the de broglie wavelength of these electrons?



Answer :

1.227   A˚

 V=32 volts

de-Broglie wavelength of electron     λ= 2meV​ h

​ ∴    λ= 2(9.1×10 −31)(1.6×10 −19 )(100)​ 6.6×10 −34

​ Or     λ= 5.4×10 −10

6.6×10 −34

  m⟹   λ=1.227×10 −10

m=1.227   A˚

The wavelength (λ) that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength. A particle's de Broglie wavelength is usually inversely proportional to its force.The de Broglie wavelength of a particle indicates the length scale at which wave-like properties are important for that particle. De Broglie wavelength is usually represented by the symbol λ or λdB. For a particle with momentum p, the de Broglie wavelength is defined as: λdB = hp. where h is the Planck constant.

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