Q 11-01-006NEETNEET 2025Top questionEasy
A physical quantity $P$ is related to four observations $a$, $b$, $c$ and $d$ as follows:
$$P = a^3b^2/c\sqrt{d}$$
The percentage errors of measurement in $a$, $b$, $c$ and $d$ are $1\%$, $3\%$, $2\%$, and $4\%$ respectively. The percentage error in the quantity $P$ is
Answer: (C) $13\%$
$$\frac{\Delta P}{P} = 3\frac{\Delta a}{a} + 2\frac{\Delta b}{b} + \frac{\Delta c}{c} + \frac{1}{2}\frac{\Delta d}{d}$$
$$= 3(1\%) + 2(3\%) + 2\% + \frac{1}{2}(4\%) = 3 + 6 + 2 + 2 = 13\%$$
Solution by Sreeraj P, M.Sc Physics