A physical quantity C is related to four other quantities p, q, r and s as follows C=frac p q 2 r 3 √(s) . The percentage errors in the measurement of p, q, r and s are 1 \%, 2 \%, 3 \% and 2 \% , respectively. The percentage error in the measurement of C will be \% .

Physics · Units, Dimensions & Error Analysis

JEE Main 2025 — 3 April, Evening Shift — Question 67

A physical quantity $C$ is related to four other quantities $p, q, r$ and $s$ as follows $C=\frac{p q^{2}}{r^{3} \sqrt{s}}$ .

The percentage errors in the measurement of $p, q, r$ and $s$ are $1 \%, 2 \%, 3 \%$ and $2 \%$ ,

respectively. The percentage error in the measurement of $C$ will be $\qquad$ $\%$ .

Numerical answer — enter this value.

$\frac{\Delta C}{C}=\frac{\Delta p}{p}+2 \frac{\Delta q}{q}+\frac{3 \Delta r}{r}+\frac{1}{2} \frac{\Delta s}{s}$

\begin{aligned} \% \text { error } & =1+2 \times 2+3 \times 3+\frac{1}{2} \times 2 \\ & =1+4+9+1 \end{aligned}

=15

Answer key and solution verified before publishing.

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