A parallel beam of electrons travelling in x - direction falls on a slit of width d (see figure). If after passing the slit, an electron acquires momentum p y in the y - direction then for a majority of electrons passing through the slit (h is Planck's constant):

Question

A parallel beam of electrons travelling in x - direction falls on a slit of width d (see figure). If after passing the slit, an electron acquires momentum p y in the y - direction then for a majority of electrons passing through the slit (h is Planck's constant):, | p y | d h, | p y | d > h, | p y | d ≃ h, | p y | d > > h

MARKS App · Accepted Answer

The electron beam will be diffractive at an angle θ For I st minima d sin ⁡ θ = λ d sin ⁡ θ = h p Also p sin ⁡ θ = p y ⇒ d p y = h ∴ majority of electrons passing through the slit are lying in the central maxima d p y h

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