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MHT CET 2026 (12 May, Shift 2) · Errors in Measurement

Errors in Measurement question from MHT CET 2026 (12 May, Shift 2)

Q9MHT CET 2026 · 12 MAY · SHIFT 2Easy

Errors in Measurement

A quantity $Q$ is formulated $X^{-2}Y^{+\frac{3}{2}}Z^{-\frac{2}{5}}.\ X,\ Y$ and $Z$ are independent parameters which have fractional errors of $0.1,\ 0.2$ and $0.5$ respectively in measurement. The maximum fractional error of $Q$ is

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Answer: (b)

$\frac{\Delta Q}{Q} = 2\frac{\Delta X}{X} + \frac{3}{2}\frac{\Delta Y}{Y} + \frac{2}{5}\frac{\Delta Z}{Z}$
$= 2(0.1) + 1.5(0.2) + 0.4(0.5) = 0.2 + 0.3 + 0.2$
So the answer is (b) $0.7$ .

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