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Q. Radius of a capillary is $2\times 10^{-3}m.\,A$ liquid of weight $6.28\times 10^{-4}N$ may remain in the capillary, then the surface tension of liquid will be

Chhattisgarh PMTChhattisgarh PMT 2006

Solution:

Given, $r=2 \times 10^{-3} m.$
$F=W=V \rho g=6.28 \times 10^{-4} m$
Surface tension $(T)=\frac{F}{2 \pi r}=\frac{6.28 \times 10^{-4}}{2 \times 3.14 \times 2 \times 10^{-3}}$
$=0.05\, N / m =5 \times 10^{-2} N / m$