the length of given conductor of resistance is R is changed from L1 toL2 while keeping it's volume constant. derive an expression for new resistance of conductor in terms of L1and L2 and R.
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Doubling the length will double the resistance, but the wire also must get thinner as it is stretched, because it will contain the same amount of metal in twice the length. The volume of a cylinder is length * cross sectional area, but in order to find the new cross section, you need to consider what the wire is made of. Most materials resist a change in volume more than they resist a change in shape, and because of that, they lose less volume than otherwise would be expected when stress is applied.
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