A certain body weighs 22.42 g and has a measured volume of 4.7 cc. The possible error in the measurement of mass and volume are 0.01 g and 0.1 cc. Then, maximum error in the density will be:
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Question

A certain body weighs 22.42 g and has a measured volume of 4.7 cc. The possible error in the measurement of mass and volume are 0.01 g and 0.1 cc. Then, maximum error in the density will be:

G1 Physics · Accepted Answer

Step 1: ρ=m/V, so maximum fractional error is Δρ/ρ = Δm/m + ΔV/V. Step 2: Percentage = (0.01/22.42 + 0.1/4.7)×100 ≈ 2%. Final: Hence option B.