Question

A wire with a resistance of 6.0 ohms is drawn out through adie so that its...

A wire with a resistance of 6.0 ohms is drawn out through adie so that its new length is three times its original length. Findthe resistance of the longer wire, assuming the resistivity anddensity of the material remain the same.HELP!!!!!!!!!!!
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Answer #1
Resistance of L meters of wire is cramster-equation-2007692152263317019922 where r is its radius
Let mass of this wire length be m
cramster-equation-2007692165163317020011 where d is density of the materialwire.
when the wire is pulled through die so that its newlength is L' = 3L , its new radius will be r'
however mass will be the same because density issame.
cramster-equation-2007692194863317020188cramster-equation-2007692110146331702021
    cramster-equation-2007692110586331702025
      cramster-equation-2007692111406331702030
cramster-equation-2007692112586331702037
therefore new resistance cramster-equation-2007692113526331702043cramster-equation-2007692116396331702059cramster-equation-2007692117396331702065cramster-equation-2007692117276331702064= 54Ω
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