The maximum error in the measurement of mass and density of the cube are 3% and 9% respectively. The maximum error in the measurement of length will be

Options

A. 0.02
B. 0.03
C. 0.06
D. 0.09

Answer

A

Explanation

As density `rho= (m)/(L^(3))`
`:. (Deltarho)/(rho)xx 100= (Deltam)/(m)xx 100+ 3((DeltaL)/(L)) xx 100`
or ` 3((DeltaL)/(L)) xx 100= ((Deltarho)/(rho)) xx 100- ((Deltam)/(m)) xx 100= 9%-3%= 6%`
or `((DeltaL)/(L))xx 100= 2%`