The following observations were taken for determining surface tension \( \sigma \) of water by c...

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The following observations were taken for determining surface tension \( \sigma \) of water by capillary method: diameter of capillary, \( D=1.25 \times 10^{-2} \mathrm{~m} \) rise of water, \( h=1.45 \times 10^{-2} \mathrm{~m} \). Using \( g=9.80 \mathrm{~m} / \mathrm{s}^{2} \) and the simplified relation \( \sigma=\frac{r h g}{2} \times 10^{3} \mathrm{~N} / \mathrm{m} \), the possible error in surface tension is closest to
[JEE (Main) 2017]
(a) \( 10 \% \)
(b) \( 0.15 \% \)
(c) \( 1.5 \% \)
(d) \( 2.4 \% \)
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