A glass capillary tube of inner diameter 0.28 mm is lowered vertically into water in a vessel. The pressure to be applied on the water in the capillary tube so that water level in the tube is same as that in the vessel (in N / m ^2 ) is Surface tension of water =0.07 ~N / m Atmospheric pressure =10^5 ~N / m ^2

Step-by-step solution

Diameter d=0.28 ~mm =0.28 10⁻³ ~m Radius r= d 2 =0.14 10⁻³ ~m Surface tension T=0.07 ~N / m T= r h d g 2 For water =0^ aligned & =1 T & = r(h d g) 2 = r P 2 aligned aligned & aligned P & = 2 T r = 2 0.07 0.14 10⁻³ & =1 10^3 ~N / m ^2 Total pressure & =P+ atmospheric pressure & =1 10^3+10^5 & =1 10^3+100 10^3 & =101 10^3 ~N / m ^2 aligned aligned