Mass and volume of a body are found to be (6.00 ± 0.03) kg and (2.00 ± 0.02) m ³ respectively. Then the density of the body is (a) 3 ± 0.010 kg/m ³ (b) 3 ± 0.015 kg/m ³ (c) 3 ± 0.020 kg/m ³ (d) 3 ± 0.045 kg/m ³

Answer: (d). ρ = m/V = (6.00)/(2.00) = 3 kg/m³ (Δρ)/(ρ) = (0.03)/(6.00) + (0.02)/(2.00) = 0.005 + 0.01 = 0.015 Δρ = 0.015 × 3 = 0.045 kg/m³ So the answer is (d) 3 ± 0.045 kg/m³.

Mass and volume of a body are found to be (6.00 ± 0.03) kg and (2.00… | MHT CET 2026 (20 May, Shift 1)

Q3MHT CET 2026 · 20 MAY · SHIFT 1Easy

Errors in Measurement

Mass and volume of a body are found to be $(6.00 \pm 0.03)$ kg and $(2.00 \pm 0.02)$ m $^{3}$ respectively. Then the density of the body is

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Answer: (d)

$\rho = \frac{m}{V} = \frac{6.00}{2.00} = 3\ \text{kg/m}^3$
$\frac{\Delta\rho}{\rho} = \frac{0.03}{6.00} + \frac{0.02}{2.00} = 0.005 + 0.01 = 0.015$
$\Delta\rho = 0.015 \times 3 = 0.045\ \text{kg/m}^3$
So the answer is (d) $3 \pm 0.045\ \text{kg/m}^3$ .

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Errors in Measurement question from MHT CET 2026 (20 May, Shift 1)

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