JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
A physical quantity \(Q\) is found to depend on quantities \(a, b, c\) by the relation \(Q=\frac{a^4 b^3}{c^2}\). The percentage error in \(a\), \(b\) and \(c\) are \(3 \%, 4 \%\) and \(5 \%\) respectively. Then, the percentage error in \(\mathrm{Q}\) is _______.
- A \(66 \%\)
- B \(43 \%\)
- C \(34 \%\)
- D \(14 \%\)
Answer & Solution
Correct Answer
(C) \(34 \%\)
Step-by-step Solution
Detailed explanation
\( \mathrm{Q}=\frac{\mathrm{a}^4 \mathrm{~b}^3}{\mathrm{c}^2} \) \( \frac{\Delta \mathrm{Q}}{\mathrm{Q}}=4 \frac{\Delta \mathrm{a}}{\mathrm{a}}+3 \frac{\Delta \mathrm{b}}{\mathrm{b}}+2 \frac{\Delta \mathrm{c}}{\mathrm{c}} \)…
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