Problem 1You
are out walking your dog at sunset. You notice that there is a light
sensor at the top of the streetlight next to you. This sensor is used
to activate the lights along the street. The street lamps are around
100m (100 yards) apart. You notice that as the lights come on, the
nearest light comes on first and the farthest light just a fraction
later. If you assume that you can distinguish between two different
events about 1/60 second apart, how fast did the sensor signal propagate
between the lights?
There is only
one problem yesterday you were walking the dog at the other
end of the street when the lights turned on. Then the nearest light
again came on first, and the light with the sensor on top that
turned on last!
Answer:
This has nothing to do
with the speed of electricity down the sensor wire. It has more to
do with the apparent 3D effect when you look at the TV using just
one lens of a pair of sunglasses. The far light is less bright than
the nearer light. This results in a delay of a few milliseconds between
when the brain considers the far light to have turned on relative
to the brighter closer light.
According to
Jearl Walker in The Flying Circus of Physics (ISBN 0-471-02984-X),
there is an even more interesting effect if you are walking your dog
on a hill over looking a series of roads and intersections. I have
not seen this effect, but apparently the group of lights at the intersections
appear to come on first as they are collectively brighter than the
individual street lights.
Contributor:
Michael Smith
5-01
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