The following observations were taken for determining surface tension T of water by capillary method: Diameter of capillary, D = 1.25 × 10−2 m rise of water, h = 1.45 × 10−2 m Using g = 9.80 m/s2 and the simplified relation T = r h ρ g / 2 × 10³ N/m, the possible error in surface tension i

Question

The following observations were taken for determining surface tension T of water by capillary method: Diameter of capillary, D = 1.25 × 10−2 m rise of water, h = 1.45 × 10−2 m Using g = 9.80 m/s2 and the simplified relation T = r h ρ g / 2 × 10³ N/m, the possible error in surface tension is closest to:

Accepted Answer

1.5%. T proportional to D*h, so dT/T = dD/D + dh/h. With least count 0.01e-2 m: dD/D = 0.01/1.25 = 0.8% and dh/h = 0.01/1.45 = 0.69%, summing to about 1.49% ~ 1.5%.

Solution

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