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Question

Two wires of same material and same length have their resistances in the ratio 5 : 7. The ratio of the masses of the wires is

A
5 : 7
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B
7 : 5
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C
3 : 4
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D
4 : 3
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Solution

The correct option is B 7 : 5
Let resistance of wire 1 be R1
and of wire 2 be R2

R1=ρ1L1A1R2=ρ2L2A2

Given wires are of same material and same length.

ρ1=ρ2:L1=L2

R1=ρLA1R2=ρLA2

R1R2=A2A1A1A2=75

Let the mass of wire a be M1 and
of wire 2 be M2

M1=ρV1M2=ρV2

M1M2=ρLA1ρLA2

M1M2=A1A2=75

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