In the density measurement of a cube, the mass and edge length are measured as `(10.00 pm 0.10)`kg and `(0.10 pm 0.01)m`, respectively. The relative error in the measurement of density is:

Options

A. `0.01 kg//m^(3)`
B. `0.10 kg//m^(3)`
C. `0.31 kg//m^(3)`
D. `0.07 kg//m^(3)`

Answer

c

Explanation

`d= (M)/(V)= (M)/(L^(3))= ML^(-3)`
`(Deltad)/(d)= (DeltaM)/(M)+ 3(DeltaL)/(L)`
`= (0.10)/(10.00)+ 3((0.01)/(0.10))= 0.31kgm^(-3)`