A Study of SplashesWorthington, A. M. (Arthur Mason)
Science
A Study of Splashes
Worthington, A. M. (Arthur Mason)
Splashes
A more important source of uncertainty arises from the fact that the
time at which the spark takes place depends partly on the magnitude of
the + and - charges which have been allowed to accumulate on the
discharging knobs connected to the two Leyden jars, for when these
charges are larger, then the spark will be longer and will take place
earlier and before the timing sphere has reached the mid-position. The
charging has therefore to be carefully watched by means of the
indications of a suitable electrometer, and the timing sphere must on
each occasion be released when the charges have just reached the right
value. But even this does not entirely suffice, for the passage of the
spark depends also partly on the state of the surface of the knobs,
which cannot be kept at any high degree of polish.
Still, when care is taken to keep the conditions as nearly as possible
constant, neither of these sources of error is serious, and the reader
can judge for himself of the accuracy of the timing from the photographs
given on Plate II, in which a solid sphere was let fall in the dark room
past a metre scale. The timing sphere was arranged, in the first four
photographs, to illuminate it at the same stage in its fall, after a
descent of thirty centimetres; if the timing had been perfect the sphere
would appear on each occasion at the same mark on the scale.
It will be observed that in the first, second, and fourth photographs
the falling sphere is almost accurately bisected by the long line of the
three-inch mark on the right-hand edge of the scale. The greatest
difference of position being just about one millimetre (as read off the
left-hand scale), which would correspond to an error of about 1/2700 of
a second. But the third photograph is earlier, showing the sphere 4·5
millimetres higher up, a distance which implies an error of just 1/600
of a second.
A fifth photograph was then taken, with the timing arranged so as to
illuminate the sphere one centimetre higher up, and it will be seen that
if we compare this with No. 3, the error is again only one millimetre.
Thus Nos. 3 and 5 agree very closely, but disagree with Nos. 1, 2, and 4
by about 1/600 of a second.
The photographs themselves supply the reason. For there happens to be
visible on each an (out-of-focus) image of the spark, and this image is
very much the same in 1, 2 and 4, but much larger and brighter in 3 and
5, showing that the knobs were then more highly charged, which would
account for the spark occurring a little too early.
Public-domain text, read in full here on John Shaqi.
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