A capillary tube of radius 0.20 mm is dipped vertically in water. Find the height of the water column raised in the tube. Surface tension of water `=0.075Nm^-1` and density of water `=1000 kgm^-3. Take g=10 ms^-2`.

Answer

abc

Explanation

In case I, capillary rise in ` T1 ` is ` h = (2 sigma cos 0 ^@ ) /( rho g r ) = (2 (0.075 ) (1))/(1000 (10) (0.2 xx 10 ^(-3))) = (75 ) /(1000 ) m = 7.5 cm `
` therefore ` (C ) is correct
In case II, capillary rise in ` T2 ` is ` h = (2 sigma cos 60 ^@ ) /( rho g r ) = 3.75 cm therefore ` (A ) is correct
In case I, if joint is 5 cm above water, water will not rise in ` T2 ` as the surface tension force ` ( sigma 2 pi r cos 60 ^@) ` can balance the weight of only 3.75 cm water column. Water will rise till 5 cm and its curvature will adjust at some angle between 0 and ` 60 ^@` to balance the weight of 5 cm water column ` therefore ` (D) is wrong
Due to different volume of meniscus, the correct will be different for both cases. ` therefore ` (B) is correct.