Q 11-01-235JEE MainJEE Main 2018 (8 Apr)Easy
The density of a material, in the shape of a cube, is determined by measuring three sides of the cube and its mass. If the relative errors in measuring the mass and length are $1.5\%$ and $1\%$, respectively, the maximum error in determining the density is:
Answer: (D) $4.5\%$
$\rho = \dfrac{m}{L^3}$, so
$$\frac{\Delta\rho}{\rho} = \frac{\Delta m}{m} + 3\frac{\Delta L}{L} = 1.5\% + 3(1\%) = 4.5\%$$
Solution by Sreeraj P, M.Sc Physics