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Get Answers to all your Questions
Q.29) A physical quantity $P$ is related to four observations $a, b, c$ and $d$ as follows:
$P=a^3 b^2 / c \sqrt{d}$
The percentage efrors of measurement in $a, b$, $c$ and $d$ are $1 \%, 3 \%, 2 \%$, and $4 \%$ respectively. The percentage error in the quantity $P$ is
A) 15%
B) 10%
C) 2%
D) 13%
Answers (1)
The percentage error is,
$\frac{\Delta P}{P} = 3\frac{\Delta a}{a} + 2\frac{\Delta b}{b} + \frac{\Delta c}{c} + 0.5\frac{\Delta d}{d}$
$\frac{\Delta P}{P} = 3 \times 1\% + 2\times 3\% + 1\times 2\% + 0.5\times 4\%$
$\frac{\Delta P}{P} = 10 \%$
Hence, the answer is the option 2.
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