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A wire has a mass 0.4±0.004g and length 8±0.08(cm) The maximum percentage error in the measurement of its density is 4%. The radius of the wire is r±Δr, find Δr.

a
0.02r
b
0.01r
c
0.03r
d
0.1r

detailed solution

Correct option is B

ρ=mπr2LΔρρ×100=Δmm+2Δrr+ΔLL×100 =0.01+2Δrr+0.01×100=4 (given)  or  100Δrr=1 ⇒Δr=0.01r

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