On the Connexion of the Physical SciencesSomerville, Mary
Science
On the Connexion of the Physical Sciences
Somerville, Mary
Physical sciences; Science
Fresnel, whose opinion is of the first
authority, thought this test conclusive. It may therefore be concluded
that the rings arise entirely from the interference of the rays: the
light reflected from each of the surfaces in apparent contact reaches
the eye by paths of different lengths, and produces coloured and dark
rings alternately, according as the reflected waves coincide or destroy
one another. The breadths of the rings are unequal; they decrease in
width, and the colours become more crowded, as they recede from the
centre. Coloured rings are also produced by transmitting light through
the same apparatus; but the colours are less vivid, and are
complementary to those reflected, consequently the central spot is
white.
The size of the rings increases with the obliquity of the incident
light, the same colour requiring a greater thickness or space between
the glasses to produce it than when the light falls perpendicularly upon
them. Now, if the apparatus be placed in homogeneous instead of white
light, the rings will all be of the same colour with that of the light
employed, that is to say, if the light be red, the rings will be red,
divided by black intervals. The size of the rings varies with the colour
of the light. They are largest in red, and decrease in magnitude with
the succeeding prismatic colours, being smallest in violet light.
Since one of the glasses is plane and the other spherical, it is evident
that from the point of contact the space between them gradually
increases in thickness all round, so that a certain thickness of air
corresponds to each colour, which in the undulatory system measures the
length of the wave producing it (N. 200). By actual measurement Sir
Isaac Newton found that the squares of the diameters of the brightest
part of each ring are as the odd numbers, 1, 3, 5, 7, &c.; and that the
squares of the diameters of the darkest parts are as the even numbers,
0, 2, 4, 6, &c. Consequently, the intervals between the glasses at these
points are in the same proportion. If, then, the thickness of the air
corresponding to any one colour could be found, its thickness for all
the others would be known. Now, as Sir Isaac Newton knew the radius of
curvature of the lens, and the actual breadth of the rings in parts of
an inch, it was easy to compute that the thickness of air at the darkest
part of the first ring is the 1/89000 part of an inch, whence all the
others have been deduced. As these intervals determine the length of the
waves on the undulatory hypothesis, it appears that the length of a wave
of the extreme red of the solar spectrum is equal to the 0·0000266th
part of an inch; that the length of a wave of the extreme violet is
equal to the 0·0000167th part of an inch; and, as the time of a
vibration of a particle of ether producing any particular colour is
directly as the length of a wave of that colour, and inversely as the
velocity of light, it follows that the molecules of ether producing the
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