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The Student and The Barometer

Some time ago I received a call from a colleague. He was about to give a student a zero for his answer to a physics question, while the student claimed a perfect score. The instructor and the student agreed to an impartial arbiter, and I was selected.

I read the examination question: "Show how it is possible to determine the height of a tall building with the aid of a barometer." The student had answered: "Take the barometer to the top of the building, attach a long rope to it, lower it to the street, and then bring it up, measuring the length of the rope. The length of the rope is the height of the building."

The student really had a strong case for full credit since he had really answered the question completely and correctly! On the other hand, if full credit were given, it could well contribute to a high grade in his physics course and certify competence in physics, but the answer did not confirm this.

I suggested that the student have another try. I gave the student six minutes to answer the question with the warning that the answer should show some knowledge of physics. At the end of five minutes, he hadn't written anything. I asked if he wished to give up, but he said he had many answers to this problem; he was just thinking of the best one. I excused myself for interrupting him and asked him to please go on.

In the next minute, he dashed off his answer, which read: "Take the barometer to the top of the building and lean over the edge of the roof. Drop the barometer, timing its fall with a stopwatch. Then, using the formula x=0.5*a*t^2, calculate the height of the building." At this point, I asked my colleague if he would give up. He conceded, and gave the student almost full credit.

While leaving my colleague's office, I recalled that the student had said that he had other answers to the problem, so I asked him what they were. "Well," said the student, "there are many ways of getting the height of a tall building with the aid of a barometer. For example,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.

"Fine," I said, "and others?"

"Yes," said the student, "there is a very basic measurement method you will like. In this method, you take the barometer and begin to walk up the stairs. As you climb the stairs, you mark off the length of the barometer along the wall. You then count the number of marks, and this will give you the height of the building in barometer units." "A very direct method."

"Of course. If you want a more sophisticated method, you can tie the barometer to the end of a string, swing it as a pendulum, and determine the value of g [gravity] at the street level and at the top of the building. From the difference between the two values of g, the height of the building, in principle, can be calculated."

"On this same tack, you could take the barometer to the top of the building, attach a long rope to it, lower it to just above the street, and then swing it as a pendulum. You could then calculate the height of the building by the period of the precession".

"Finally," he concluded, "there are many other ways of solving the problem. Probably the best," he said, "is to take the barometer to the basement and knock on the superintendent's door. When the superintendent answers, you speak to him as follows: 'Mr. Superintendent, here is a fine barometer. If you will tell me the height of the building, I will give you this barometer."

At this point, I asked the student if he really did not know the conventional answer to this question. He admitted that he did, but said that he was fed up with high school and college instructors trying to teach him how to think.

The name of the student was Niels Bohr, who later received the Nobel prize for Physics.

A Night Before Christmas For Moms
A Night Before Christmas For Moms

It was the night before Christmas, when all thru the abode
only one creature was stirring, and she was cleaning the commode.
The children were finally sleeping, all snug in their beds,
while visions of Nintendo and Barbie, flipped through their heads.

The dad was snoring in front of the TV,
with a half-constructed bicycle on his knee.
So only the mom heard the reindeer hooves clatter,
which made her sigh, “Now what’s the matter?”

With toilet bowl brush still clutched in her hand,
she descended the stairs, and saw the old man.
He was covered with ashes and soot, which fell with a shrug.
“Oh great,” muttered the mom, “Now I have to clean the rug.”

“Ho-ho-ho!” cried Santa, “I’m glad you’re awake.
Your gift was especially difficult to make.”
“Thanks, Santa, but all I want is some time alone.”
“Exactly!” he chuckled, “I’ve made you a clone.”

“A clone?” she asked,“What good is that?
Run along, Santa, I’ve no time for chit-chat.”
It was the mother’s twin.
Same hair, same eyes, same double chin.

“She’ll cook, she’ll dust,
She’ll mop every mess.
You’ll relax, take it easy,
Watch The Young & the Restless.”

“Fantastic!” the mom cheered.
“My dream has come true!
I’ll shop. I’ll read,
I’ll sleep a whole night through!”

From the room above, the youngest began to fret.
“Mommy?! I'm scared… and I ‘m wet.”
The clone replied, “I’m coming, sweetheart.”
“Hey,” the mom smiled, “She knows her part.”

The clone changed the small one, and hummed a tune,
as she bundled the child, in a blanket cocoon.
“You're the best mommy ever. I really love you.”
The clone smiled and sighed, “I love you, too.”

The mom frowned and said, “Sorry, Santa, no deal.
That’s my child’s love, she’s trying to steal.”
Smiling wisely Santa said, “To me it is clear,
Only one loving mother, is needed here.”

The mom kissed her child, and tucked her into bed.
“Thank you, Santa, for clearing my head.
I sometimes forget, it won’t be very long,
when they’ll be too old, for my cradle-song.”

The clock on the mantle began to chime.
Santa whispered to the clone, “It works every time.”
With the clone by his side Santa said, “Goodnight.
Merry Christmas, Mom, You’ll be all right.”





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