A) \[\pm \,\,80\,%\]
B) \[\pm \,\,40\,%\]
C) \[\pm \,\,35\,%\]
D) None of these
Correct Answer: C
Solution :
Here distance, \[\operatorname{s} = \left( 8.0 \pm 0.8 \right) m\] and time \[\operatorname{t}=\left( 2.0 \pm 0.5 \right) s\] So, velocity \[v=\frac{s}{t}=\frac{8.0}{2.0}=4.0m/s\] Now, \[\frac{\Delta v}{v}=\pm \left( \frac{\Delta s}{s}+\frac{\Delta t}{t} \right)\] \[=\,\,\,\,\pm \,\left( \frac{0.8}{8.0}+\frac{0.5}{2.0} \right)\] \[=\,\,\,\pm \,\left( 0.1+0.25 \right)\] \[=\,\,\,\pm 0.35\] \[\frac{\Delta v}{v}\,\,\times \,\,100\,\,=\,\,\pm 0.35\,\,\times \,\,100\] \[=\,\,\,\pm 35\,%\]
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