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A wire has a mass 0.3±0.003 g, radius 0.5±0.005 mm and length 6±0.06 cm. The maximum percentage error in the measurement of its density is

a
1
b
2
c
3
d
4

detailed solution

Correct option is D

∴Density, ρ=MV=Mπr2L⇒ Δρρ=ΔMM+2Δrr+ΔLL=0.0030.3+2×0.0050.5+0.066=0.01+0.02+0.01=0.04∴  Percentage error =Δρρ×100=0.04×100=4%

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