Class 11 NEET Physics Physical World, Units and Measurements

Density=

mass

Volume

...(i)
Take logarithm to take base e on the both sides of eqn (i), we get
ln‌ρ=ln‌m−ln‌V ....(ii)
Differentiate eqn (ii), on both sides, we get

Δρ

ρ

=

Δm

m

−

ΔV

V

Errors are always added.
Error in the density ρ will be
=[

Δm

m

+

ΔV

V

]×100%
=[

0.01

22.42

+

0.1

4.7

]×100%=2%