In a laboratory investigation

PHYSICS · Single correct · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

In a laboratory investigation, a rubber stopper is whirled in a horizontal circle on the end of a string. From a plot of centripetal acceleration

a_c

(vertical axis) versus speed squared

v^{2}

(horizontal axis), the best-fit line has a slope of

(1.05 \pm 0.04)\,\text{m}^{-1}

. Which of the following values is most consistent with the radius of the circle and its percent uncertainty? (a)

1.05\text{ m with }3.8\ \%\text{ uncertainty}

(b)

0.95\text{ m with }0.4\ \%\text{ uncertainty}

(c)

0.95\text{ m with }3.8\ \%\text{ uncertainty}

(d)

0.92\text{ m with }3.8\ \%\text{ uncertainty}