Question

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

(a) 22%

(b) 2%

(c) 0.2%

(d) 0.02%

Answer 1

Correct Option (b) 2%

Explanation:

 Density ρ = mass m/volume V  ...(i)

Take logarithm to take base e on the both sides of eqn (i). we get

Inρ = Inm - InV   ...(ii)

Differentiate eqn (ii), on both sides, we get

Δρ/ρ = ρm/m - ΔV/V

Errors are always added, Error in the density p will be