Discussion
A distance of 50 cm is measured using a metre stick with the smallest division 1 mm. The percentage error involved in the measurement is
Answer: C
The percentage error is 0.2%.
The uncertainty of a reading is taken as the least count of the instrument, here 1 mm = 0.1 cm:
\[ \begin{aligned} \frac{\Delta l}{l} \times 100 \\ &= \frac{0.1\ \text{cm}}{50\ \text{cm}} \times 100 \\ &= 0.2\% \end{aligned} \]
The units must match before dividing. 2% comes from using 1 mm against 50 cm without converting; 0.1% halves the least count; 0.5% and 5% have no route from these numbers.
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