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)/(V) = (M)/(pir^(2)l)`
`(Delta rho)/(rho) = (Delta M)/(M) + ( 2Delta r)/(r ) + (Delta l)/(l) ` (For maximum error)
`(Delta M)/(M) xx 100 = (0.003)/(0.3) xx 100 = 1%`,
`(Deltar)/(r ) xx 100 = (.005)/(0.5) xx 100 = 1%`
`(Delta l)/(l) xx 100 = (0.06)/(6) xx 100 = 1%`
`rArr (Delta rho)/(rho) xx 100 = 4%`