The density of a cube is measured by measuring its mass and length of its side. If the maximum errors in the measurements of mass and length are 3% and 2% respectively. Then the maximum error in the measurement of density is :

Options

A. 0.07
B. 0.05
C. 0.09
D. 0.03

Answer

(c )

Explanation

Here, `(Delta m)/(m) = 3%, (DeltaL)/(L) = 2%`
`As density, rho = (mas(m))/(volume(V)) = (m)/(L^3)`
`(Delta rho)/(rho) = (Deltam)/(m) + (3 DeltaL)/(L) = 3% + 3(2%)`
`=3% + 6% = 9%`