If, now, the disk be set in rotation, the unpierced spaces between the
apertures will alternately take the place of the apertures, and the eye
o will now see the image of the luminous point in _b_ only at
interrupted intervals. On increasing the rapidity of the rotation,
however, the interruptions for the eye become again unnoticeable, and
the eye sees the mirror _b_ uniformly illuminated.
But all this holds true only for relatively small velocities of the
disk, when the light sent through an aperture in _s_ to _b_ on its
return strikes the aperture at almost the same place and passes through
it a second time. Conceive, now, the speed of the disk to be so
increased that the light on its return finds before it an unpierced
space instead of an aperture, it will then no longer be able to reach
the eye. We then see the mirror _b_ only when no light is emitted from
it, but only when light is sent to it; it is covered when light comes
from it. In this case, accordingly, the mirror will always appear dark.
If the velocity of rotation at this point were still further increased,
the light sent through one aperture could not, of course, on its return
pass through the same aperture but might strike the next and reach the
eye by that. Hence, by constantly increasing the velocity of the
rotation, the mirror _b_ may be made to appear alternately bright and
dark. Plainly, now, if we know the number of apertures of the disk, the
number of rotations per second, and the distance _sb_, we can calculate
the velocity of light. The result agrees with that obtained by Römer.
The experiment is not quite as simple as my exposition might lead you to
believe. Care must be taken that the light shall travel back and forth
over the miles of distance _sb_ and _bs_ undispersed. This difficulty
is obviated by means of telescopes.
If we examine Fizeau's apparatus closely, we shall recognise in it an
old acquaintance: the arrangement of Galileo's experiment. The luminous
point _l_ is the lantern _A_, while the rotation of the perforated disk
performs mechanically the uncovering and covering of the lantern.
Instead of the unskilful observer _B_ we have the mirror _b_, which is
unfailingly illuminated the instant the light arrives from _s_. The disk
_s_, by alternately transmitting and intercepting the reflected light,
assists the observer _o_. Galileo's experiment is here executed, so to
speak, countless times in a second, yet the total result admits of
actual observation. If I might be pardoned the use of a phrase of
Darwin's in this field, I should say that Fizeau's apparatus was the
descendant of Galileo's lantern.
A still more refined and delicate method for the measurement of the
velocity of light was employed by Foucault, but a description of it here
would lead us too far from our subject.
Public-domain text, read in full here on John Shaqi.
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