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Turns Ratio

Two copper wi...

Question

Two copper wires have their masses in the ratio 2 : 3 and the lengths in the ratio 3 : 4. The ratio of their resistances is:

A

1:2

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B

4:9

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C

16:9

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D

27:32

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Solution

The correct option is D 27:32
$R \propto \frac{l}{A}$
$R \propto \frac{l \times l}{V}$
$R \propto \frac{l^{2}}{m}$

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