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 :-
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Question

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 :-

G1 Physics · Accepted Answer

Density ρ=m/(πr²L), so percentage error =Δm/m +2Δr/r +ΔL/L =1%+2(1%)+1%=4%. Correct answer: D.