Thomas Young's double-slit experiment demonstrated that light has wave-like properties by showing that light passing through two slits will produce an interference pattern of bright and dark fringes on a screen. The experiment found that the distance between fringes is determined by the wavelength of light and the distance between the slits and screen. Increasing the wavelength or distances between slits or screen decreases the fringe spacing. This relationship can be used to calculate unknown wavelengths from measured distances. For example, in an experiment using sodium light with 0.3mm slits 1.2m from a screen showing 2.4mm spaced fringes, the wavelength is calculated to be 589nm.
2. Thomas Youngs Experiment
Thomas Youngs double-slit experiment was
conducted to prove that light has wave-like
properties, as well as having photon particles.
3. The condition for a bright fringe to appear on the
optical screen: dsin慮=n了
Where d is the distance between the two slits and n is
an integer.
The distance between 2 successive fringes (on the
optical screen): s=了D/d
Where D is the distance between the screen and the
slits.
4. How to Make Sense of the Formulae
An increase in the wavelength of the light results
in: increase in number of fringes on screen and
decrease in distance between fringes
An increase in the distance between slits results
in: increase in number of fringes on screen and
decrease in distance between fringes
An increase in the distance between the screen
and the slits results in: increase in number of
fringes on screen and decrease in distance
between fringes
5. Application of Double-Slit Interference
Double-slit interference allows us to measure
the wavelength of lights using Youngs
equation: 了 = y d / (m L)
d: distance between slits
L: distance from slits to screen
y: distance from central antinode to 4th
antinode
m: order value
6. Sample Question
In a two-slit apparatus the slits are 0.3 mm
apart. Fringes in sodium are observed at a
distance of 1.2 m from the slits. The
separation of the fringes is 2.4 mm.
What is the wavelength of sodium light?