Your professor gives you a summer job organizing his lab. On the first day, you
ID: 2156922 • Letter: Y
Question
Your professor gives you a summer job organizing his lab. On the first day, you come across three identically shaped cylinders of metal, each having a diameter of 3.51 mm and a length of 6.19 cm. They appear to be made out of different metals, but they are not labelled. They are, however, packaged with a table of the conductivities of several metals. You locate a multimeter and use it to measure the electrical resistance of each cylinder. Using the measured resistances and the table of conductivites, identify the metal that each clinder is composed of.Sample 1: R1=183uQ
Sample 2: R2=735uQ
Sample 3: R3=112uQ
Metals
Silver 6.30x10^7
Copper 5.69x10^7
Aluminum 3.50x10^7
Tungsten 1.82x10^7
Tin 8.70x10^6
Titanium 1.80x10^6
Explanation / Answer
(R = ho l /A ) (l/A) = 6397.15 1/m conductivity, k = (1/ ho ) = (l/AR) Sample 1: k = 34.957 x 10^6 = 3.50 x 10^7 ==> Aluminum Sample 2: k = 8.7036 x 10^6 ==> Tin Sample 3: k = 57.117 x 10^6 = 5.7 x 10^7 ==> Copper
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