The purpose
of this experiment is to test a DVD to know whether the distance between the
grooves causes distortion to the music. The groove spacing will be computed by employing the reflection-grating concept. The standard groove spacing for a DVD is 740 nm*. The experiment was conducted using a compact disc, a meter stick, a laser
pointer, stands, and wood blocks. A compact disc was set up in front of the
laser pointer so the laser beam would fall on the disc surface perpendicularly.
The disc was adjusted so that the zero order maximum would strike the hold of
the laser pointer. The first order maxima were found by putting two wood blocks,
aligned with each other on each side of the laser pointer. The perpendicular distance
between the screen (wood blocks) and the disc was recorded. The distance
between two bright fringes on each side of the laser was also measured. The angle
from the zero order maximum to the first order maximum was computed. The
distance between the grooves was also calculated, and this value was compared
with the standard value.
Figure 1: A compact disk was set up to remain perpendicular to the laser beam
Figure 2: Laser was adjusted so that the zero order maximum stroke the hole of the laser
Data and Analysis
Table
1: Measured and computed data required for the grooves distance calculation
λ (nm)
|
Distance between the CD and the screen (cm)
|
Distance between 2 adjacent bright fringes
(cm)
|
Angle between perpendicular line to the CD
& the first bright fringe (˚)
|
632.8
|
11.70 ± 1.00
|
19.65 ± 1.00
|
59.23 ± 0.04
|
Table
2: Comparison between the experimental and the standard distance between the
grooves
Experimental width (nm)
|
Standard width (nm)
|
% error (%)
|
% uncertainty (%)
|
736.5 ± 19.2
|
740
|
0.48
|
2.6
|
According
to table 2, the percent error between the experimental distance between the
grooves and the standard values were 0.48% with the experimental distance of
736.5nm. In addition, the standard value was within the uncertainty of
experimental error since the percent error was a lot smaller than the percent
uncertainty. The error that could possibly contribute
to this experimental result was that scratches on the disk and the
uncertainties in measurement of the distances.
In order to improve the capacity of the DVD, the DVD can be added
more layers. However, these layers have to have different pits so that the
incoming waves will not interfere destructively when they reflect from each
layer.
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