The measured mass and volume of a body are 2.00g and 5.0 cm3 respectively. With possible errors of 0.01g and 0.1 cm3, what would be the percent error in the density
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m = 2.00 gm Δm = 0.01 gm
V = 5.0 cm³ ΔV = 0.1 cm³
d = m/V = 2/5 = 0.40 gm/cm³
density = d = m/V
=> Δd / d = Δm / m + ΔV/ V
= 0.01/2 + 0.1/5
= 0.025
Δd = 0.025 * 0.4 = 0.01 gm/cm³
d = 0.40 +- 0.01 gm/cm³
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