JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
The percentage errors in quantities \(P, Q, R\) and \(S\) are \(0.5\%,\,1\%,\,3\%\) and \(1 .5\%\) respectively in the measurement of a physical quantity \(A\, = \,\frac{{{P^3}{Q^2}}}{{\sqrt {R}\,S }}\) . the maximum percentage error in the value of \(A\) will be ........... \(\%\)
- A \(8.5\)
- B \(6.0\)
- C \(7.5\)
- D \(6.5\)
Answer & Solution
Correct Answer
(D) \(6.5\)
Step-by-step Solution
Detailed explanation
\begin{array}{l} Maximum\,percentage\,error\,in\,A\\ = 3\left( {\% \,error\,in\,p} \right) + 2\left( {\% \,error\,in\,Q} \right)\\ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\, + \frac{1}{2}\left( {\% \,error\,in\,R} \right) + 1\left( {\% \,error\,in\,S} \right)\\ = 3 \times 0.5 + 2 \times 1 =…
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