A wire has a mass `(0.3+-0.003)g`, radius `(0.5+-0.005)mm` and length `(6+-0.06)cm`. The maximum percentage error in the measurement of its density is

Options

A. 1
B. 2
C. 3
D. 4

Explanation

`p=(M)/(V)=(M)/(pir^(2)h)`
`(Deltap)/(p)=(DeltaM)/(M)+(2Deltar)/(r)+(Deltah)/(h)` (for maximum error)
`(DeltaM)/(M)=(0.003)/(0.3)xx100=1%`
`(Deltar)/(r)=(.05)/(0.5)xx100=1%`
`(Deltal)/(kl)=(0.06)/(6)xx100=1%`
`(Deltap)/(p)=4%`