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Percentage error in a spring constant from mass and time-period errors

This type of question, asked 2 times: 6 Apr 2024, 28 Jan 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    6 Apr 2024

    1
    To find the spring constant (k)(k) of a spring experimentally, a student commits 2%2\% positive error in the measurement of time and 1%1\% negative error in measurement of mass. The percentage error in determining value of kk is:

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  2. Question 2

    28 Jan 2026 S2

    19
    The time period of a simple harmonic oscillator is T=2πkmT = 2\pi\sqrt{\frac{k}{m}}. The measured value of mass ( m ) of the object is 10 g with an accuracy of 10 mg , and time for 50 oscillations of the spring is found to be 60 s using a watch of 2 s resolution. Percentage error in determination of spring constant( kk ) is ____\_\_\_\_ %.

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