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The masses of the three wires of copper are in the ratio of 5 : 3 : 1 and their lengths are in the ratio of 5 : 3 : 1. The ratio of their electrical resistance is

1. 1 : 3 : 5
2. 5 : 3 : 1
3. 1 : 25 : 125
4. 125 : 15 : 1

Correct answer: 1 : 25 : 125

Solution

Resistance depends on length and cross-sectional area. Since mass and length ratios are given, cross-sectional area can be derived to find resistance.

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