In an experiment

PHYSICS · Single correct · CBSE · Physics · Mechanical Properties of Solids · Mechanical Properties of Solids

Problem

In an experiment, the line of best fit for a graph of restoring force versus extension passes through the origin and the point

(0.200\,\text{m},\,7.80\,\text N)

. The uncertainty in the force measurement is

\pm0.15\,\text N

, and the uncertainty in the extension measurement is

\pm0.003\,\text{m}

. Which of the following ranges best represents the possible values of the spring constant consistent with these uncertainties? (a)

38.3\,\text{N/m}\le k\le 39.8\,\text{N/m}

(b)

38.8\,\text{N/m}\le k\le 39.2\,\text{N/m}

(c)

37.7\,\text{N/m}\le k\le 40.4\,\text{N/m}

(d)

36.0\,\text{N/m}\le k\le 42.0\,\text{N/m}