Calculate and express the result with its absolute uncertainty.

PHYSICS · Single correct · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

Calculate

\left(12.35\,\text{cm}\,\pm\,0.05\,\text{cm}\right)+\left(7.2\,\text{cm}\,\pm\,0.1\,\text{cm}\right)-\left(19.48\,\text{cm}\,\pm\,0.02\,\text{cm}\right)

and express the result with its absolute uncertainty. (a)

0.07\,\text{cm}\,\pm\,0.11\,\text{cm}

(b)

0.07\,\text{cm}\,\pm\,0.10\,\text{cm}

(c)

0.07\,\text{cm}\,\pm\,0.17\,\text{cm}

(d)

0.10\,\text{cm}\,\pm\,0.20\,\text{cm}