In an experiment, electrons are made to pass through a narrow slit of width `d` comparable to their de Broglie wavelength. They are detected on a screen at a distance `D` from the slit (see figure)`.
`

Which of the following graphs can be expected to represent the number of electrons `N` detected as a function of the detector position `y` (y=0 corresponds to the middle of the slit ).

Options

A.
B.
C.
D.

Explanation

There will be electron differaction when the de-broglie wavelength of moving electrons is comparable with the width of slit. This will result into a differaction patter on screen. With bright central maximum intensity having dark and bright minimum and maximum intensity alternately and of decreasing width. The size of central maxima is more than the width of slit `d`. therefore, the option (a) is correct.