The following observations were taken for determining surface tension T of water by capillary method: diameter of capillary, D = 1.25 x 10-2 m rise of water, h = 1.45 x 10-2 m. Using g = 9.80 m/s2 and the simplified relation T = [rhg/2] x 103 N/m, the possible error in surface tension is closest to: (a) 0.15% (b) 1.5% (c) 2.4% (d) 10%

1.5%

T = (rhg/2) x 103 N/m

T = (Dhg/4) x 103 N/m (Since D = 2r)

log T = log D + log h + log g – 4 + 3

⇒ (ΔT/T) = (ΔD/D) + (Δh/h)

= (0.01/1.25) + (0.01/1.45)

We get,

= 0.015

= 1.5%

Therefore, the correct option is (b)

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