Q.

Wire has a mass (0.3±0.003) gram radius (0.5±0.005) millimeter and length (0.6±0.006) centimeter. The maximum percentage error in the measurement of its density is

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a

2

b

4

c

6

d

8

answer is B.

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Detailed Solution

ρ=MV=Mπr2ℓΔρρ=ΔMM+2Δrr+Δℓℓ=0.0030.3+2×0.0050.5+0.0060.6=0.04Percentage error =Δρρ×100=4%
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Wire has a mass (0.3±0.003) gram radius (0.5±0.005) millimeter and length (0.6±0.006) centimeter. The maximum percentage error in the measurement of its density is