Question

Two different wires have specific resistivity, lengths, area of cross-section are in the ratio 3 : 4, 2 : 9 and 8 : 27. Then the ratio of resistance of two wires is________.​

Answer 1

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Given :-

Ratio of two Wires Resistivity = 4 : 3.

=> Resistivity of Wire1 & Wire2 is 4 & 3.

Ratio of Length = 9 : 2

=> Length of two wires are 9 & 2 respt.

& Ratio of Cross-Section Area = 27 :8.

=> Cross Section Area of two wires is 27 & 8 respt.

Now,

By the Resistance Formula. we get,

Resistance of Wire1 / Resistance of Wire2

=> (4 × 9/27) / (3×2/8)

=> 8*(4×9) / 27*(3×2)

=> 16 : 9.

Hence,

The Ratio of Resistance of the wires 16 : 9.