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):

A parallel beam of electrons travelling in x - direction falls on a slit of width d (see figure). If after passing the

A parallel beam of electrons travelling in x - direction falls on a slit of width d (see figure). If after passing the

Quantrex Academy · Accepted Answer

Correct answer: A. | p _ y | d < h

The electron beam will be diffractive at an angle

\theta

For I^st minima

dsin \theta = \lambda

dsin \theta = \dfrac{h}{p}

Also

psin \theta = {p}_{y}

⇒ d{p}_{y} = h

∴

majority of electrons passing through the slit are lying in the central maxima

d{p}_{y} < h

A parallel beam of electrons travelling in x - direction falls on a...

Options

Correct answer

Step-by-step solution

More from Wave Optics