The following observations were taken for determining surface tension T of water by capillary method:…

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 s-2 and the simplified relation T=rhg2×103 N m-1 the possible error in surface tension is closest to:
  1. 10%
  2. 0.15%
  3. 1.5%
  4. 2.4%

Solution

Percentage error in surface tension 

TT=rr+hh

rr=DD=0.011.25

hh=0.011.45

% error in T=TT×100=0.011.25+0.011.45×100=1.4891.5

Asked in: JEE Main 2017 (02 Apr)

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