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Physics (AS & A Level) · Feb / March 2016 · Paper 22 · Question 1

9702

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The question as text

The speed v of a transverse wave on a uniform string is given by the expression v = T l m where T is the tension in the string, l is its length and m is its mass. An experiment is performed to determine the speed v of the wave. The measurements are shown in Fig. 1.1. quantity measurement uncertainty T l m 1.8 N 126 cm 5.1 g ± 5% ± 1% ± 2% Fig. 1.1

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  • 1(a)[1]

    metre rule / tape measure

  • 1(b)(i)[2]

    v = [(1.8 × 126 × 10–2) / 5.1 × 10–3]1 / 2 = 21.1 (m s–1)

  • 1(b)(ii)[3]

    percentage uncertainty = 4% or fractional uncertainty = 0.04 ∆v = 0.04 × 21.1 = 0.84 v = 21.1 ± 0.8 (m s–1)

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