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Physics · UNITS AND MEASUREMENT

हिन्दी

If the length and breadth of a rectangular sheet are measured as \( l = 16.2\text{ cm} \) and \( b = 10.1\text{ cm} \), the percentage error in area and absolute error in area respectively are:

  1. A
    \( 1.6\% \) and \( 3\text{ cm}^2 \)
  2. B
    \( 2.6\% \) and \( 1.6\text{ cm}^2 \)
  3. C
    \( 0.6\% \) and \( 3\text{ cm}^2 \)
  4. D
    \( 1.6\% \) and \( 2.6\text{ cm}^2 \)
View Answer & Solution

Correct answer · Option A

\( 1.6\% \) and \( 3\text{ cm}^2 \)

Explanation

Percentage error in \( l \) is \( \pm 0.6\% \) and in \( b \) is \( \pm 1\% \). The product error is \( 1.6\% \), and absolute error in area \( l \times b = 163.62 \times 1.6\% \approx 3\text{ cm}^2 \), leading to \( 164 \pm 3\text{ cm}^2 \).
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