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MHT CET 2025 (19 Apr, Shift 1) · Errors in Measurement

Errors in Measurement question from MHT CET 2025 (19 Apr, Shift 1)

Q52MHT CET 2025 · 19 APR · SHIFT 1Medium

Errors in Measurement

The formula for the physical quantity is $P = \frac{x^{3} y}{z^{2}}$ and the percentage error in the determination of physical quantities $x, y, z$ are $0.6\%,\ 3\%$ and $1.3\%$ respectively. The percentage error in the measurement of P is

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Answer: (d)

$P = \frac{x^3 y}{z^2} \Rightarrow \frac{\Delta P}{P} = 3\frac{\Delta x}{x} + \frac{\Delta y}{y} + 2\frac{\Delta z}{z}$
$= 3(0.6) + 3 + 2(1.3) = 1.8 + 3 + 2.6 = 7.4\%$
So the answer is (d) $7.4\%$ .

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