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

Answer

D

Explanation

`rho=(m)/(pir^(2)l)rArr(Delta rho)/(rho)=(Deltam)/(m)+2(Deltar)/(m)+2(Deltat)/(r)+(Deltal)/(l)`
`(Delta rho)/(rho)xx100=(0.003)/(0.3)xx100+2xx(0.005)/(0.5)+(0.06)/(6)xx100=4%`