Norbert S. Baer sent from New York City a yarn about
a question alleged to have appeared on a physics degree exam at the University
of Copenhagen. The question: Describe how to determine the height of a
skyscraper with a barometer. One student's reply: Tie a piece of string
to the neck of the barom-eter and lower the instrument from the roof of
the skyscraper to the ground. The string's length plus the barometer's
length equals the building's height.
This answer incensed the examiner, who failed the student at once. The
student appealed on the grounds that his answer was indisputably correct;
the university appointed an arbiter to decide. The latter judged that the
answer, though indeed correct, showed no noticeable knowledge of physics.
So the student was allowed six minutes to give an oral response showing
at least minimal familiarity with physics. The student came up with several
responses:
-
Drop the barometer from the roof of the building and measure the time it
takes to reach the ground. The height of the building is then 1/2gt2,
g being the acceleration of gravity and the time.
-
If the sun is shining, measure the length of the barometer and then set
it on end and measure the length of its shadow. Measure the length of the
building's shadow, and use proportional arithmetic to work out its height.
-
Tie a piece of string to the barometer and swing it like a pendulum, first
at ground level and then on the roof of the skyscraper. Work out the height
by the difference in the gravitational restoring force.
-
If the skyscraper has an outside emergency staircase, walk up it and mark
off the height of the building in barometer lengths, then add them up.
-
Use the barometer to measure pressure on top of the building, com-pare
that pressure with standard pressure on the ground, and convert the difference
in millibars into feet to give the height of the building.
-
Knock on the janitor's door and say, "I'll give you this nice new barometer
if you tell me the height of this skyscraper."
The arbiter gave the student an A.