A soft plastic bottle, filled with water of density 1 gm / cc , carries an inverted glass test-tube with some air (ideal gas) trapped as shown in the figure. The test-tube has a mass of 5 gm , and it is made of a thick glass of density 2.5 gm / cc . Initially the bottle is sealed at atmospheric pressure p₀=10⁵ ~Pa so that the volume of the trapped air is v₀=3.3 cc . When the bottle is squeezed from outside at constan

Step-by-step solution

When all the forces on tube are balanced then the tube will start sinking. F u p w a r d = F d o w n w a r d ρ w V tube   + V air   g = m tube   g 2   cm 3 + V air   g = ( 5   gm ) g V air = 3   cm , while the initial volume of the air was 3 . 3   cm 3 so the decrease in the volume Δ V = 3 . 3 - 3 = 0 . 3   cm 3 V tube   = m tube   ρ tube   = 5   gm 2 . 5   gm   cm - 3 V tube   = 2   cm 3 Since the temperature of the