Barometer
The following concerns a question in a physics degree exam at the University of Copenhagen:

"Describe how to determine the height of a skyscraper with a barometer."

One student replied:

"You tie a long piece of string to the neck of the barometer, then lower the barometer from
the roof of the skyscraper to the ground. The length of the string plus the length of the
barometer will equal the height of the building."

This highly original answer so incensed the examiner that the student was failed immediately.
The student appealed on the grounds that his answer was indisputably correct, and the university
appointed an independent arbiter to decide the case.

The arbiter judged that the answer was indeed correct, but did not display any noticeable
knowledge of physics. To resolve the problem it was decided to call the student in and allow him
six minutes in which to provide a verbal answer that showed at least a minimal familiarity with
the basic principles of physics.

For five minutes the student sat in silence, forehead creased in thought. The arbiter reminded
him that time was running out, to which the student replied that he had several extremely
relevant answers, but couldn't make up his mind which to use. On being advised to hurry up the
student replied as follows:

"Firstly, you could take the barometer up to the roof of the skyscraper, drop it over the
edge, and measure the time it takes to reach the ground. The height of the building can then be
worked out from the formula H = 0.5g x t squared. But bad luck on the barometer."

"Or if the sun is shining you could measure the height of the barometer, then set it on end
and measure the length of its shadow. Then you measure the length of the skyscraper's shadow, and
thereafter it is a simple matter of proportional arithmetic to work out the height of the
skyscraper."

"But if you wanted to be highly scientific about it, you could tie a short piece of string to
the barometer and swing it like a pendulum, first at ground level and then on the roof of the
skyscraper. The height is worked out by the difference in the gravitational restoring force T =2
pi sqr root(l / g)."

"Or if the skyscraper has an outside emergency staircase, it would be easier to walk up it and
mark off the height of the skyscraper in barometer lengths, then add them up."

"If you merely wanted to be boring and orthodox about it, of course, you could use the
barometer to measure the air pressure on the roof of the skyscraper and on the ground, and
convert the difference in millibars into feet to give the height of the building."

"But since we are constantly being exhorted to exercise independence of mind and apply
scientific methods, undoubtedly the best way would be to knock on the janitor's door and say to
him 'If you would like a nice new barometer, I will give you this one if you tell me the height of this skyscraper'."

The student was Niels Bohr, the only Dane to win the Nobel Prize for Physics.


category: technology  date entered: 2006-03-09