Two narrow bores of diameters 3.00mm and 6.0mm are joined together to form a U-tube open at both ends. If the U-tube contains water, what is the difference in its levels in the two limbs of the tube? Surface tension of water at the temperature of the experiment is `7.3 times 10^-2 N m^-1`.Take the angle of contact to be zero and density to water to be `1.0 times 10^3 kg m^-3`

Explanation

For the first bore, pressure difference (between the concave and convex side)=`2 times 7.3 times 10^-3/3 times 10^-3=48.7 Pa` Similarly for the second base, pressure difference =97.3 Pa Consequently the level difference in the two bores is `(48.7//(10^3 times 9.8)) m=5.0mm`
the level in the narrower bore is higher.(Note for zero angle of contract,the radius of the meniscus equals of the bore. The concave side of the surface in each bore is at 1atm)