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

Options

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

Answer

D

Explanation

Density of the material of wire is given by `p=(m)/(pi r^(2)l)`
`(triangle p)/(p)=(trianglem)/(m)+2(triangle r)/(r )+(triangle l)/(l)`
`implies (trianglep)/(p)=(0.003)/(0.3)+2(0.005)/(0.5)+(0.06)/(6)= 0.01+0.02+0.01=0.04`
`implies (trianglep)/(p)xx100=4`.