A physical quantity P is related to four observations a, b, c and d… | NEET 2025

Q45NEET 2025Medium

Errors in Measurement

A physical quantity $P$ is related to four observations $a, b, c$ and $d$ as follows:

$P = a^3b^2/c\sqrt{d}$

The percentage errors of measurement in $a, b, c$ and $d$ are $1\%, 3\%, 2\%$ , and $4\%$ respectively. The percentage error in the quantity $P$ is

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Answer: (a)

For $P = \frac{a^3b^2}{c\sqrt{d}}$ : $\frac{\Delta P}{P} = 3\frac{\Delta a}{a} + 2\frac{\Delta b}{b} + \frac{\Delta c}{c} + \frac{1}{2}\frac{\Delta d}{d}$
$= 3(1) + 2(3) + 2 + \frac{1}{2}(4) = 3 + 6 + 2 + 2 = 13\%$
So the answer is (a) $13\%$ .

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