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MHT CET 2025 (20 Apr, Shift 2) · Errors in Measurement

Errors in Measurement question from MHT CET 2025 (20 Apr, Shift 2)

Q51MHT CET 2025 · 20 APR · SHIFT 2Medium

Errors in Measurement

The density of a cube is measured by measuring its mass and length of its sides. The \% error in the measurement of mass and length are $5\%$ and $6\%$ respectively. The percentage error in the measurement of density is

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Answer: (b)

Density of a cube: $\rho = \frac{m}{L^3}$ , so $\frac{\Delta \rho}{\rho} = \frac{\Delta m}{m} + 3\frac{\Delta L}{L}$ .
$= 5\% + 3(6\%) = 23\%$
So the answer is (b) $23\%$ .

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