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

Explanation

Density,`d=(mass(m))/(Volume(V))`
Here `m=2.42g, Deltam=0.01g,v=4.7cm^(3)` , `DeltaV =0.1cc`
Maximum error in density,`(Deltad)/d xx100=((Deltam)/mxx100)+((DeltaV)/Vxx100)`
`=((0.01)/(2.42)xx100)+((0.1)/(4.7)xx100)=0.413%+2.127%=2.54%`