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Maximum percentage error in density from mass and dimensions

This type of question, asked 4 times: 27 Jun 2022, 8 Apr 2023, 22 Jan 2025, 6 Apr 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    27 Jun 2022

    3
    A silver wire has mass (0.6±0.006)g(0.6 \pm 0.006)g, radius (0.5±0.005)mm(0.5 \pm 0.005)mm and length (4±0.04)cm(4 \pm 0.04)cm. The maximum percentage error in the measurement of its density will be:

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  2. Question 2

    8 Apr 2023

    19
    A cylindrical wire of mass (0.4±0.01)g(0.4 \pm 0.01)g has length (8±0.04)cm(8 \pm 0.04)cm and radius (6±0.03)mm(6 \pm 0.03)mm. The maximum error in its density will be

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  3. Question 3

    22 Jan 2025

    78
    The maximum percentage error in the measurement of density of a wire is [Given, mass of wire =(0.60±0.003)g= (0.60 \pm 0.003)g, radius of wire =(0.50±0.01)cm= (0.50 \pm 0.01)cm, length of wire =(10.00±0.05)cm= (10.00 \pm 0.05)cm]

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  4. Question 4

    6 Apr 2026 S1

    1
    The density ρ\rho of a uniform cylinder is determined by measuring its mass m , length ll and diameter d . The measured values of m,lm,l and d are 97.42±0.02 g,8.35±0.05 mm97.42 \pm 0.02\text{ }g,8.35 \pm 0.05\text{ }mm and 20.20±0.02 mm20.20 \pm 0.02\text{ }mm, respectively. Calculated percentage fractional error in ρ\rho is ____\_\_\_\_.

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