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Physics · UNITS AND MEASUREMENT
हिन्दीThe length and breadth of a rectangular field are measured as \( l = (20.0 \pm 0.2)\text{ m} \) and \( b = (10.0 \pm 0.1)\text{ m} \). The percentage uncertainty in the calculated area of the field is:
Correct answer · Option 3
\( 2.0\% \)
Explanation
Relative error \( \frac{\Delta A}{A} = \frac{\Delta l}{l} + \frac{\Delta b}{b} = \frac{0.2}{20.0} + \frac{0.1}{10.0} = 0.01 + 0.01 = 0.02 \). Percentage error \( = 0.02 \times 100\% = 2.0\% \).
