99 Percentile Qs Bank for JEE MainPhysicsMathematics in Physics
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:
Options
- A6   %
- B2.5   %
- C3.5   %
- D4.5 %
Correct answer
D. 4.5 %
Step-by-step solution
ρ = M L 3 ⇒ Δ ρ ρ = Δ M M + 3 Δ L L ⇒ Δ ρ ρ × 100 = 1.5 + 3 × 1 % relative error, = 4.5   %