20分 高手請入F.3 physics (easy)

2009-10-25 7:53 pm
in my physics text book

there is a question like this:

Which of the following changes cannot improve the sensitivity of a liquid-in-glass
thermometer?

A. using a longer capillary tube
B. using a narrower capillary tube
C. using a bulb with a thicker wall
D. using a liquid that expands more when heated

And the answer at the back of my book is (A) model ans
but i think its wrong
I think both A and C cannot improve the sensitivity of the thermometer
if we thicken the wall of the bulb, it will only slower the heat transfer. There's no
help for the sensitivity...

Can anyone tell me why the ans is only (A) but not also (C)?
can anyone tell me how (C) can improve the sensitivity?

thx a lot!! X1000000

my test is coming and this question bothers me alot!

回答 (1)

2009-10-25 9:30 pm
✔ 最佳答案
I think you have to understand first what "sensitivity" means.
Sensitivity, in a liquid-in-glass thermometer, is the change in liquid column for every degree of change in temperature. The unit used is commonly in "mm/C". Under such interpretation, the liquid column of a thermometer increases by, say 5 mm when the temperature rises by 1'C is more sensitive than another one with its liquid column increases only by 2 mm for the same one degree rise in temperature .

With this understanding in mind, it is clear that option A is entirely relevant to the sensitivity, as lengthening the capillary tube wouldn't help increasing the rise of the liquid column for a degree rise in temperature.
Option C, using a bulb of thicker wall would decrease the volume of the bulb cavity. Thus the amount (volume) of liquid that can be contained in the thermometer bulb is decreased. As expansion of a liquid, under a rise of temperature, depends on the amount of liquid stored in the bulb, the less liquid stored, the smaller will be the expansion. Therefore, a smaller expansion will lead to a lower rise of the liquid column (for the same degree rise in temperature), which implies that the sensitivity is decreased.



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