The measured mass and volume of a body are 2.42 g and 4.7 `cm^3` respectively with possible errors 0.01 g and 0.1 `cm^3`. Find the maximum error in density.

Explanation

M = 2.42 g, V = 4.7 `cm^(3)`
`DeltaM=0.01g, DeltaV=0.1 cm^(3)`
Density `(rho)=M/V`
`" "(Deltarho)/rho=(DeltaM)/M=(DeltaV)/V=(0.01)/(2.42)+(0.1)/(4.7)`
`" "=0.004+0.02=0.024`
% error is `(Deltarho)/rho times 100=0.024 times 100`
`" "=2.4%=2%`