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Q.

The specific resistance ρ of a circular wire of radius, resistance R and length l is given by ρ=πr2Rl. Given r = 0.24 ± 0.02 cm, R = 30 ± 1Ω, and l = 4.80±0.01 cm The percentage error in ρ is nearly:

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a

7%

b

13%

c

20%

d

9%

answer is D.

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Detailed Solution

ρρ=2rr+RR+ll = 2×.020.24+130+.014.80 =.16+.033+ .002 =0.195 

Percentage error in specific resistance= 20%

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