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

Options

A. `0.01 kg//m^(2)`
B. `0.10 kg//m^(3)`
C. `0.07 mg//m^(3)`
D. `0.31 kg//m^(3)`

Answer

D

Explanation

`rho=(10)/((0.1)^(3))=10^(+4) kg//m^(3)`
Also `rho=(M)/(l^(3)) :. (Delta rho)/(rho)= (Delta M)/(M) + (3 Delta l)/(l) = (0.1)/(10) + (0.01)/(0.1) xx 3 " " (1)/(100)+3/10 = (31)/(100) = 0.31 kg//m^(3)`