First slide

Accuracy; precision of instruments and errors in measurements

Question

If $x = 10.0 \pm 0.1$ and $y = 10.0 \pm 0.1$ , then $2 x - 2 y$ is equal to

Moderate

A

$(0.1 \pm 0.1)$
B

0
C

$(0.0 \pm 0.4)$
D

$(20 \pm 0.2)$

Solution

Let say z = 2 x-2 y
$z = 2 \times 10.0 - 2 \times 10.0 = 0.0$
$Δ z = 2 Δ x + 2 Δ y = 2 (0.1 + 0.1) = 0.4$
$(z \pm Δ z) = (0.0 \pm 0.4)$

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