Measurements give

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

Problem

Measurements give

A = 5.0\,\text{cm} \pm 0.1\,\text{cm}

B = 3.0\,\text{cm} \pm 0.2\,\text{cm}

and

C = 2.00\,\text{cm} \pm 0.05\,\text{cm}

. Calculate

Z = (A-B)C

along with its absolute uncertainty, expressed in the form

Z \pm \Delta Z

. (a)

4.00\,\text{cm}^{2} \pm 0.54\,\text{cm}^{2}

(b)

10.0\,\text{cm}^{2} \pm 0.70\,\text{cm}^{2}

(c)

4.0\,\text{cm}^{2} \pm 0.70\,\text{cm}^{2}

(d)

4.00\,\text{cm}^{2} \pm 0.22\,\text{cm}^{2}