First slide

Accuracy; precision of instruments and errors in measurements

Question

The length of a rod is $(11.05 \pm 0.2) cm$ . What is the length of the two rods?

Moderate

A

$(22.1 \pm 0.05) c m$
B

$(22.1 \pm 0.1) cm$
C

$(22.10 \pm 0.05) cm$
D

$(22.10 \pm 0.4) cm$

Solution

$l = l_{1} + l_{2} = 11.05 + 11.05 = 22.10 cm$
$Δ = Δ_{1} + Δ_{2} = 0.2 + 0.2 = 0.4 cm$
Hence, $(l \pm Δ l) = (22.10 \pm 0.4 cm)$

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