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):

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TestHub · Accepted Answer

The electron beam will be diffractive at an angle $θ$

For I^stminima

$d \sin θ = λ$

$d \sin θ = \frac{h}{p}$

Also $p \sin θ = p_{y}$

$\Rightarrow d p_{y} = h$

$∴$ majority of electrons passing through the slit are lying in the central maxima $d p_{y} < h$

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