A wire has a mass `(0.3pm0.003)` g, radius `(0.5pm0.005)` mm and length `(6pm0.06)`cm. The maximum percentage error in the measurement of its density is

Options

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

Answer

D

Explanation

`"Density, "rho=(M)/(V)=(M)/(pir^(2)l)`
`therefore" "(Delta rho)/(rho)xx100=[(DeltaM)/(M)+(2Deltar)/(r)+(Deltal)/(l)]xx100`
`=[(0.003)/(0.3)+2(0.005)/(0.5)+(0.06)/(6)]xx100=4`