Describe Young’s double-slit experiment. Explain the setup and the resulting pattern. You may find it helpful to draw a picture. what does the distance between the resulting dots represent? How does it relate to the distance between the slits of the diffraction grating?
Young's double-slit experiment is an experiment first done by English physicist Young to demonstrate wave character of light by diffraction and interference of light originating from a source and then passing through two slits or holes.
Setup and Pattern
In this experiment, light is sent through a pair of vertical slits
which is diffracted on the screen spread out horizontally into a
pattern of numerous vertical lines or dots(as these lines are very
short). Without diffraction and interference, the light would only
make two lines on the screen.
The interference pattern for a double slit has an intensity that falls off with angle. The below photograph shows multiple bright and dark lines, or fringes, formed by light passing through a double slit.
The distance((y2 - y1)) between the
resulting dots or fringes represents the fringe width.
The waves follow different paths from the slits to a common point on a screen. If the paths taken by the two waves differ ( path difference ) by any half-integral number of wavelengths [, , , etc.], then destructive interference occurs. The waves start in phase but arrive out of phase. f the paths taken by the two waves differ by an integral number of wavelengths (, , , etc.), then constructive interference occurs. The waves start with out of phase and arrive in phase.
Path difference by simple trigonometry comes out to be ,
If
= integral multiples of
for constructive interference producing bright fringe
= half-integral multiples of
for destructive interference producing dark fringe
The distance((y2 - y1)) between the
resulting dots or fringes represents the fringe width.
y2 - y1 =
( from the traingle )
which relates the slit width d with fringe width
Describe Young’s double-slit experiment. Explain the setup and the resulting pattern. You may find it helpful...
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