Ranking of the properties of these things?

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pivoxa15
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Is the following correct?

Handle of frying pan should have high thermal conductivity while the pan should have low thermal conducitivty.

Coffee cup should have low thermal conductivity.

Covering for Electrical wiring should have low electrical conductivity
 
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So the handle should have low thermal conductivity. While the pan should have high thermal conductivity.

With the former, what if the handle becomes very hot for some reason than it would take a long time for the handle to cool down again.

With the latter, it would mean food in a pan without a heat source will tend to cool faster. But that isn't a problem is it? As the pan is only designed for heating in mind.

It is surprising that the answers in my book had Yes, No, No. (Although the question about the actual cooking pan's thermal conductivity wasn't included) Which all seems to contradict your answers. But I can't see any good reason for the book's answers.
 
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