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Q.

Calculate the percentage error in specific resistance, ρ=πr2R/l, where r= radius of wire =0.26±0.02cm, l= length of wire =156.0±0.1cm, and R= resistance of wire  =64±2Ω.

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a

18.6%

b

21.0%

c

12.1%

d

32.0%

answer is B.

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Detailed Solution

ρ=πr2Rl

Δρρ=2Δrr+ΔRR+Δll Δρρ=2×0.020.26+264+0.1156=0.1538+0.03125+0.00064=0.186 % error =18.6%

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