The wave nature of electrons suggests that they will produce diffraction effects. Davisson and Germer experimentally proved this by diffracting electrons from a crystal. The law of diffraction from a crystal is obtained from the constructive interference of electron waves reflected from the planes of atoms in the crystal. When electrons are incident on the crystal plane at an angle $i$ with the normal to the plane,and the distance between the planes is $d$,which of the following equations can be used to calculate the de Broglie wavelength of the electrons if a sharp diffraction peak is obtained?

  • A
    $d\sin i = n\lambda$
  • B
    $2d\cos i = n\lambda$
  • C
    $2d\sin i = n\lambda$
  • D
    $d\cos i = n\lambda$

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Similar Questions

The wave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated this by diffracting electrons from crystals. The law governing the diffraction from a crystal is obtained by requiring that electron waves reflected from the planes of atoms in a crystal interfere constructively (see figure).

Who made experimental verification of the wave nature of the electron?

In the Davisson-Germer experiment,which is the correct curve between the intensity $(I)$ of scattered electrons and the scattering angle $(\phi)$?

Given below are two statements :-
Statement $I$ : Davisson-Germer experiment establishes the wave nature of electrons.
Statement $II$ : If electrons have wave nature,they can interfere and show diffraction.
In the light of the above statements,choose the correct answer from the options given below:

In the Davisson-Germer experiment,when electrons strike a $Ni$ crystal,which of the following waves are diffracted?

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