PHYSICS 101 – 1953 EXAM QUESTION Back in my first year of UBC, I remember the following question in Dr. Gordon Shrum's First Year Physics exam:

"Determine the height of a skyscraper with a barometer."

One of my class-mates (obviously pre-engineering) 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 Shrum that the student was failed immediately. The student appealed on the grounds that his answer was indisputably correct so 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, the arbiter called in the student and allowed him six minutes in which to verbally provide an answer which 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:

"One, 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. Determine the height of the building from the formula H = 1/2 x g x tē, that is height = gravity x time squared over 2. But bad luck on the barometer.

"Two, 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.  

"Three, 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 x pi x square root of l over g).

"Four, if the skyscraper has an outside emergency staircase all the way to the roof and assuming each step in the staircase is the same height, it would be easy to count the steps in the staircase,then measure one step in terms of barometer length. The building height would be the number of steps x step barometer length.

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

"Six, 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, 'I will give you this nice new barometer if you will tell me the height of this skyscraper.’"

The arbiter re-graded the student with an 'A.'
Ed Frazer – Electrical ‘58