1.

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):

Answer»

`|p_y|d = h`
`|p_y|d GT h`
`|p_y|d LT h`
`|p_y|d gt gt h`

Solution :For momentum conservation
From de-Broglie `lambda = h/(|p_y|)`
From the concept of DIFFRACTION,

`Delta x = d sin theta`
`lambda = d sin theta`
`:. sin theta = lambda/d < 1`
For diffraction , `lambda < d`
`h/(|p_y|) < d`
`:. |py| d > h`


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