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Question

We have two wires A and B of same mass and same material. The diameter of the wire A is half of that B. If the resistance of wire A is 24 ohm then the resistance of wire B will be

A
12 ohm
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B
3.0 ohm
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C
1.5 ohm
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D
None of the above
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Solution

The correct option is D 1.5 ohm
Same material same density, specific resistance as they are material property.

R=plA=pvA2=pmdA2

R1A21r4

RARB=r4Br4A=24=16RB=2416=1.5Ω

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