Q 11-01-153JEE MainJEE Main 2022 (25 Jun, Shift 2)Easy
For $z = a^2x^3y^{1/2}$, where $a$ is a constant, if the percentage errors in measurement of $x$ and $y$ are $4\%$ and $12\%$ respectively, then the percentage error for $z$ will be ______ %.
Numerical value type. Enter your answer.
Answer: 18
$$\frac{\Delta z}{z}\times100 = 3\times4\% + \frac12\times12\% = 12\% + 6\% = 18\%$$
Solution by Sreeraj P, M.Sc Physics