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

Density `rho = (m)/(pir^(2)L)`
`:.(Deltarho)/(rho)xx100=((Deltam)/(m)+2(Deltar)/(r)+(DeltaL)/(L))xx100=[(0.003)/(0.3)+2xx(0.005)/(0.5)+(0.06)/(6)]xx100=4%`
After substituting the values we get the maximum percentage error in density `=4%` Hence the correct option is `(D)` .