Answer to Question #115536 in Physics for Ayotunde

Question #115536
The resistance Ro, of a substance at temperature t°c, which is measured by a mercury thermometer is Rt=Ro/1+ alpha t^2 Where Ro is the resistance of the substance at 0°c and alpha= 5 ×10^-5.Calculate the resistance of the substance at 80°c and 100°c.If the resistance of the substance is used as a thermometer, what will the resistance thermometer read when a mercury thermometer read 80°c and 100°?.Comment on answer
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Expert's answer
2020-05-14T09:22:15-0400
R(80)=R01+(5105)(80)2=0.7576R0R(80)=\frac{R_0}{1+(5\cdot10^{-5})(80)^2}=0.7576R _ 0 ​

R(100)=R01+(5105)(100)2=0.6667R0R(100)=\frac{R_0}{1+(5\cdot10^{-5})(100)^2}=0.6667R _ 0 ​

When a mercury thermometer reads 100°c


T=R(100)R0R(100)R0100=100°CT=\frac{R(100)-R_0}{R(100)-R_0}100=100°C

When a mercury thermometer reads 80°c


T=R(80)R0R(100)R0100=0.757610.66671100=72.7°CT=\frac{R(80)-R_0}{R(100)-R_0}100=\frac{0.7576−1}{0.6667−1}100=72.7°C

The readings of two types of thermometer are the same for 100°c because 100°c is upper fixed point of the Celsius scale. All thermometers agreed at the fixed points.


The reading of the resistance thermometer, 72.7°C, differs from that of the mercury thermometer, 80°C, because the resistance of the substance and the expansion of mercury do not vary linearly or in the same manner with increasee in temperature.


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Comments

Assignment Expert
13.05.20, 17:18

Dear visitor, please use panel for submitting new questions

Odecious Gbearr
13.05.20, 14:29

A current 5A passes through a straight wire in a uniform magnitude field of a flux density. 2.0 T. Calculate the force per unit length exerted on the wire when it is inclined at 30° to the field.

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