In an experiment to measure density of object mass and volume are measured as 22.42 gram and `4.7cm^(3)` respectively. Error in measurement of mass and volume is 0.1 gram and `0.1cm^(3)` respectively. Find maximum error in measurement of density.

Options

A. 0.22
B. 0.02
C. `2%`
D. `0.02%`

Answer

B

Explanation

Density `rho=(M)/(V)`
`:.` Percentage error,
`(Deltadelta)/(delta)xx100%=(DeltaM)/(M)xx100%+(DeltaV)/(V)xx100%`
`=(0.1)/(22.42)xx100%+(0.1)/(4.7)xx100%`
`=0.446%+2.04%`
`=2.45+2.04%`
`=2.49%`
`~~2%`