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Question

# Two wires A and B of same material and same mass have radius 2r and r. If resistance of wire A is 34Ω, then resistance of B will be?

A
544Ω
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B
272Ω
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C
68Ω
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D
17Ω
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Solution

## The correct option is A 544ΩThe radius has a ratio of 2:1, therefore the cross-sectional area is of ratio 4:1. The resistance per unit length is therefore 1:4. Because we are told the mass is the same, wire B, the smaller section wire will have to be 4 times as long to have the same mass, neglecting the effects of any insulation on the mass. So the final resistance of B will be 16 times the resistance of A or 544 Ohms.

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