A cylindrical wire of mass (0.4 ± 0.01) g has length ( 8 ± 0.04) cm and radius (6 ± 0.03) mm . The maximum error in its density will be
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A cylindrical wire of mass (0.4 ± 0.01) g has length ( 8 ± 0.04) cm and radius (6 ± 0.03) mm . The maximum error in its density will be

G1 Physics · Accepted Answer

For a cylinder, ρ=m/(πr²L). Maximum percentage error =Δm/m +2Δr/r +ΔL/L =0.01/0.4×100 +2(0.03/6×100)+0.04/8×100 =2.5+1+0.5=4%. Correct answer: C.