Paragraph for Question Nos. 38 to 40 A small spherical monoatomic ideal gas bubble (γ = 5/3) is trapped inside a liquid of density ρl (see figure). Assume that the bubble does not exchange any heat with the liquid. The bubble contains n moles of gas. The temperature of the gas when the bubble is at the bottom is T0, the height of the liquid is H and the atmospheric pressure is P0 (Neglect surface tension) Figure : 1. 38. As the bubble moves upwards, besides the buoyancy force the following forces are acting on it   Only the force of gravity   The force due to gravity and the force due to the pressure of the liquid   The force due to gravity, the force due to the pressure of the liquid and the force due to viscosity of the liquid   The force due to gravity and the force due to viscosity of the liquid   Hint Half-n-half Clue   2. 39. When the gas bubble is at a height y from the bottom, its temperature is   T0( P0 + ρlgH P0 + ρlgy )2/5   T0( P0 + ρlg(H – y) P0 + ρlgH )2/5   T0( P0 + ρlgH P0 + ρlgy )3/5   T0( P0 + ρlg(H – y) P0 + ρlgH )3/5   Half-n-half Clue   3. 40. The buoyancy force acting on the gas bubble is (Assume R is the universal gas constant)   ρlnR gT0 (P0 + ρl gH)2/5 (P0 + ρl gy)7/5   ρln R gT0 (P0 + ρl gH)2/5 [P0 + ρl g(H – y)]3/5   ρlnR gT0 (P0 + ρl gH)3/5 (P0 + ρl gy)8/5   ρln R gT0 (P0 + ρl gy)3/5 [P0 + ρl g(H – y)]2/5   Half-n-half Clue