The density of a material, in the shape of a cube, is determined by measuring three sides of the cube and…

The density of a material, in the shape of a cube, is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are 1.5% and 1%, respectively, the maximum error in determining the density is:
  1. 6 %
  2. 2.5 %
  3. 3.5 %
  4. 4.5 %

Solution

ρ=ML3⇒Δρρ=ΔMM+3ΔLL⇒Δρρ×100=1.5+3×1
% relative error,=4.5 %

Asked in: JEE Main 2018 (08 Apr)

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