A wire has a mass `(0.3pm0.003)`g, radius `(0.5pm0.005)` mm and length `(0.6pm0.006)` cm. The maximum percentage error in the measurement of its density

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%`