MHTCET 16 Apr 2026 Shift 2 Paper

Concept:Density is the ratio of mass to volume. For a cube, volume is the cube of its side length.Explanation:Density is given by $\rho = \frac{m}{V}$.For a cube of side $l$, volume is $V = l^{3}$.So, $\rho = \frac{m}{l^{3}}$.When quantities are multiplied or divided, their percentage errors are added.If a quantity has a power, its percentage error is multiplied by that power.Therefore, error in density is:$\frac{\Delta \rho}{\rho} \times 100 = \frac{\Delta m}{m} \times 100 + 3\left(\frac{\Delta l}{l} \times 100\right)$Given error in mass = $4\%$ and error in length = $3\%$.So, error in density $= 4\% + 3(3\%) = 4\% + 9\% = 13\%$.Answer:The error in the measurement of density is $13\%$.Thus, the correct option is A. $13\%$.