The radius (r), length (/) and resistance (x) of a thin wire are (0.2 ± 0.02)cm, (80 ± 0.1)cm, and (30 ± 1)Ω respectively . The percentage error in the specific resistance is
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a
23.4%
b
25.4%
c
26%
d
27.5 %
answer is A.
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Detailed Solution
Specific Resistance ρ=πr2xL Total % error is 2Δrr+ΔLL+Δxx×100
The radius (r), length (/) and resistance (x) of a thin wire are (0.2 ± 0.02)cm, (80 ± 0.1)cm, and (30 ± 1)Ω respectively . The percentage error in the specific resistance is