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Date November 2014 Marks available 1 Reference code 14N.1.SL.TZ0.2
Level Standard level Paper Paper 1 Time zone Time zone 0
Command term Question number 2 Adapted from N/A

Question

The maximum acceleration amax of an oscillator undergoing simple harmonic motion (SHM) has a percentage uncertainty of 12%. The amplitude x0 of the oscillation has a percentage uncertainty of 20%. If \(k = \sqrt {\frac{{{a_{\max }}}}{{{x_0}}}} \) what is the percentage uncertainty in the constant k?

A. 4%

B. 8%

C. 16%

D. 32%

Markscheme

C

Examiners report

It was surprising to see the number of candidates who clearly did not realise that the square root involves halving the percentage uncertainty.

Syllabus sections

Core » Topic 1: Measurements and uncertainties » 1.2 – Uncertainties and errors
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