1. Tardigrade
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  3. Physics
  4. 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 = (rhg/2) × 103 N/m , the possible error in surface tension is closest to :

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

JEE MainJEE Main 2017Physical World, Units and Measurements

Solution:

$\frac{\Delta T}{T} \times100 = \frac{\Delta D}{D} \times100 + \frac{\Delta h}{h} \times100$
$= \frac{0.01}{1.25} \times100 + \frac{0.01}{1.45} \times100$
$ = \frac{100}{125} + \frac{100}{145} $
$= 0.8 + 0.689$
$ = 1.489$
$\simeq 1.5 \% $