Error in surface tension

The following observations were taken for determining surface tension \(T\) of water by capillary method.

In this method, we dip a thin tube (called capillary) of diameter \(D = 1.25 \times 10^{-2} m\) in water and water rises on its own in the capillary to a height \(h= 1.45 \times 10^{-2} m\).

The possible error in surface tension is closest to:

Details and assumptions:

  • \(g = 9.80\) \( \text{m/s}\) \(^2\)
  • Simplified relation, \(T = \dfrac{rhg}{2} \times 10^3 N/m\), where \(r\) is the radius of the capillary.

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