(2) A glass tube of inside diameter 1.0 mm is dipped vertically into a container of mercury, with its lower end 1 cm below the mercury surface. (a) What must be the gauge pressure of the air in the tube to blow a hemispherical bubble at its lower end? (b) To what height will mercury rise in the tube in the air pressure in the tube is 3000 Pa below atmospheric? The contact angle is 140 and pmercury=13.6 g/cm.