question_answer

Which of the following length measurement is most accurate and why? (i) 4.00 cm           (ii) 0.004 mm      (iii) 40-00 cm.

Answer:

                (i) \[\frac{\Delta x}{x}=\frac{0.01}{4.00}=0.0025\]             (ii) \[\frac{\Delta x}{x}=\frac{0.001}{0.004}=0.25\]            (iii) \[\frac{\Delta x}{x}=\frac{0.01}{40.00}=0.00025\] The last observation has the least fractional error and hence it is most accurate.