Question

Distance covered by particle is 200.0 $\pm$ 0.4 m, and time taken to cover it is 18.0 $\pm$ 0.9 s. Percentage error in speed is :

• A. 7 %
• B. 5.2 %
• C. 2.5 %
• D. 14 %

Answer 1

The correct option is B 5.2 %

% error in distance = $\frac{△s}{s}\times 100=\frac{0.4}{200}\times 100=0.2$
% error in time =
$\frac{△t}{t}\times 100$ = $\frac{0.9}{18}\times 100=5$
$v=\frac{s}{t}\frac{△v}{v}\times 100=\frac{△s}{s}\times 100+\frac{△t}{t}\times 100$
= 0.2 + 5 = 5.2 %