The table given below gives the resistivity of three samples in ohm metre

Samples $A$ $B$ $C$
Resistivity $1.6 \times 10^{-8}$ $7.5 \times 10^{17}$ $44 \times 10^{-6}$

$(a)$ Which of them is a good conductor ? Which is an insulator ? Why? 

$(b)$ $A$ wire of resistance $4$ ohm is doubled on it. Calculate the new resistane of the wire.

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$(a)$ $A$ is a conductor and $B$ is an insulator. Since the metals and alloys have very good resistivity in the range of $10^{-8}$ to $10^{-6} \Omega m$ they are very good conductors of electricity while insulators have resistivity of the order of $10^{12}$ to $10^{17} \Omega m$ are insulator.

$(b)$ If the wire of resistance $4 \Omega$ doubled on it, then the new resistance will become four times and $R _{n}=n^{2} R ,$ where $n$ is the times the wire is elongated.

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