The following two observtions were taken for determining surface tension T of waer by capillary method-Diameter of capillary- D-1-25- 10-2 m andrise of watter- h-1-45- 10-2 m-Using g-9-80 ms-2 and thhe simplified relation- T-rhg2- 103 Nm-1- where r is radius of capillary tueb- the maximum error in surface tension is close to

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Standard XII

Physics

Tube of Insufficient Length

The following...

Question

The following two observtions were taken for determining surface tension $T$ of waer by capillary method:
Diameter of capillary, $D = 1.25 \times 10^{- 2} m$ andrise of watter, $h = 1.45 \times 10^{- 2} m$ .
Using $g = 9.80 m s^{- 2}$ and thhe simplified relation, $T = \frac{r h g}{2} \times 10^{3} N m^{- 1}$ , where $r$ is radius of capillary tueb, the maximum error in surface tension is close to

0.15 %

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1.5 %

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2.4 %

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10 %

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Solution

The correct option is B $1.5 %$
$\frac{d T}{T} = \frac{d r}{r} + \frac{d h}{h} + \frac{d g}{g}$

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The correct option is B 1.5 %dTT=drr+dhh+dgg

The correct option is B $1.5 %$
$\frac{d T}{T} = \frac{d r}{r} + \frac{d h}{h} + \frac{d g}{g}$