CAIE A-Level Physics AS 1.3.3 Assess the Uncertainty in a Derived Quantity By Simple Addition of Absolute Questions

Assess uncertainty in a derived quantity by adding absolute uncertainties, then report the result with appropriate units and precision in Cambridge A Level Physics questions.

Exam points

Assess uncertainty in a derived quantity by adding absolute uncertainties and reporting the result with appropriate units and precision.

[Maximum number: 1]

The Young modulus of the material of a wire is to be found. The Young modulus E is given by the equation shown.

E=\frac{4 F L}{\pi d^{2} x}

The wire is extended by a known force and the following measurements are made.
Which measurement has the largest effect on the uncertainty in the value of the calculated Young modulus?

measurement

symbol

value

length of wire before force applied

$2.043 \pm 0.002 \mathrm{~m}$

diameter of wire

$0.54 \pm 0.02 \mathrm{~mm}$

force applied

$19.62 \pm 0.01 \mathrm{~N}$

extension of wire with force applied

$5.2 \pm 0.2 \mathrm{~mm}$

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CAIE A-Level Physics AS 1.3.3 Assess the Uncertainty in a Derived Quantity By Simple Addition of Absolute Questions question 1