The specific resistance of the material of a wire is ρ, its volume is 3m3 and its resistance is 3Ω. The length of the wire will be
√1ρ
3√ρ
1ρ√3
ρ√13
A
1ρ√3
B
√1ρ
C
3√ρ
D
ρ√13
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Solution
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The resistance of the wire is
R=ρLA .............................(1)
where, variables have their usual meanings.
Now, the volume is
V=AL
AL=3m3.....................(given)
A=3L
from (1)
R=ρL3L
3=ρL23 .......................(since, R=3Ω)
L2=9ρ
L=3√ρ
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