The percentage errors in quantities P, Q, R&n | vedclass

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Question

$\begin{array}{l}
Maximum\,percentage\,error\,in\,A\
 = 3\left( {\% \,error\,in\,p} ight) + 2\left( {\% \,error\,in\,Q} ight)\
\,\,\,\,\

Vedclass · Accepted Answer

$6.5$

Vedclass · Answer

$\begin{array}{l}
Maximum\,percentage\,error\,in\,A\
 = 3\left( {\% \,error\,in\,p} ight) + 2\left( {\% \,error\,in\,Q} ight)\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, + \frac{1}{2}\left( {\% \,error\,in\,R} ight) + 1\left( {\% \,error\,in\,S} ight)\
 = 3 	imes 0.5 + 2 	imes 1 = \frac{1}{2} 	imes 3 + 1 	imes 1.5\
 = 1.5 + 2 + 1.5 + 1.5 = 6.5\% 
\end{array}$

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 ........... $\%$

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