Thunder and Lightning — John Stuart Mill — John Shaqi
Thunder and Lightning
John Stuart Mill · en
We ask ourselves to what it is due that this rolling lasts so long.
There are several causes. The first is due to the length of lightning
and the difference in speed between sound and light. Let us suppose,
for example, a flash of lightning, AE, 11,000 metres long. The
observer stationed at O, underneath extremity E of the lightning
(which is one kilometre high), will see the lightning in its full
length in one indivisible instant. The sound will form itself also at
the same instant all along the line of lightning, but the sound-waves
will only reach the ear of the observer at different times. That which
starts at point E, the nearest, will arrive in 3 seconds, sound
travelling about 337 metres a second. That which is formed at the same
moment at point D, 2000 yards from point O, will take double the time
to arrive. That which comes from point C will not arrive for 12
seconds. The sound formed at B will not arrive until the time
necessary to cover 8 kilometres--that is to say, not for 23
seconds--and the sound formed at A will only reach after 32 seconds.
Thus the rolling will have lasted more than half a minute from start
to finish.
[Illustration: DIAGRAM EXPLAINING THE DURATION OF THE SOUND OF
THUNDER.]
And if, which is very often the case, the astronomer is not exactly
under one of the extremities of the lightning, but at some other point
in its course, he first hears a clap, then an increased noise, then a
diminution. In fact, in this case, the sound which leaves point D just
overhead, which is 1000 metres off, arrives alone in 3 seconds, but
the sounds formed from D to E on one side, and from C to D on the
other, arrive at the same time, having joined each other, taking 9
seconds, which is the necessary time to come from 1000 to 3000 metres.
The sounds beyond C arrive and depart according to distance, as in the
preceding example, and the thunder has lasted 23 seconds instead of 32
seconds.
[Illustration: COMMENCEMENT, AUGMENTATION, AND DIMINUTION OF THE
INTENSITY OF THUNDER.]
I must add that lightning is never straight, but always crooked.
The length of time the thunder rolls has nothing to do with the
distance of the cloud where the phenomenon begins. It is proportionate
to the length of the lightning with which it is associated. The
rolling is often still more prolonged by a succession of small
discharges, which follow each other very rapidly between the stormy
clouds; by the zigzags and ramifications of the lightning caused by
the hygrometrical diversity of the different beds of air; by the
echoes repeated by the mountains, the earth, the water, and the clouds
themselves--to all which must be added also the interferences caused
by the encounter of the different systems of sound-waves.