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The following observations were taken fo...

The following observations were taken for determining surface tension T of water by capillary method:
diameter of capillary, D `= 1.25 xx 10^(-2) `m
rise of water h = `1.45 xx10^(-2)` m.
Using g =`9.80 ,m//s^(2)` and the simplified relation ` T = (rhg)/(2) xx 10^(3) N//m` , the possible error in surface tension is closest to:

A

`0.15%`

B

`1.5%`

C

`2.4%`

D

`10%`

Text Solution

Verified by Experts

The correct Answer is:
B
`T = (rhg)/(2) xx10^(3) = (Dhg)/(4) xx 10^(3)`
`:. (DeltaT)/(T)xx100 = (DeltaD)/(D)xx100+(Deltah)/(h)xx100`
`=(0.01)/(1.25)xx100 +(0.01)/(1.45)xx100`
`=1.489% ~~ 1.5%`
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