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MHT CET 2026 (11 Apr, Shift 2) · Errors in Measurement

Errors in Measurement question from MHT CET 2026 (11 Apr, Shift 2)

Q16MHT CET 2026 · 11 APR · SHIFT 2Easy

Errors in Measurement

A quantity P is related as $X^{-2}Y^{-3/2}Z^{2/5}$ where X,Y,Z are independent parameters which have fractional errors of $0.1, 0.2$ and $0.5$ respectively in measurement. The maximum fractional error in P is

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Answer: (a)

For $P = X^{a}Y^{b}Z^{c}$ , maximum fractional error $\frac{\Delta P}{P} = |a|\frac{\Delta X}{X} + |b|\frac{\Delta Y}{Y} + |c|\frac{\Delta Z}{Z}$ (negative powers still add).
$\frac{\Delta P}{P} = 2(0.1) + \frac{3}{2}(0.2) + \frac{2}{5}(0.5) = 0.2 + 0.3 + 0.2$
So the answer is (a) $0.7$ .

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