As the bubble moves upwards, besides the buoyancy force the following forces are acting on it [2008]

Question

A small spherical mono-atomic ideal gas bubble $(γ = 5 / 3)$ is trapped inside a liquid of density $ρ$ (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 $T_{0}$ , the height of the liquid is $H$ and the atmospheric pressure is $P_{0}$ (Neglect surface tension). [2008]

Q. As the bubble moves upwards, besides the buoyancy force the following forces are acting on it

Smart Achievers · Accepted Answer

(4)

The forces acting besides buoyancy force which is the force due to pressure of the liquid are

(i) Force of gravity (vertically downwards)

(ii) Viscous force (vertically downwards)

Solution

1 Only the force of gravity

2 The force due to gravity and the force due to the pressure of the liquid

3 The force due to gravity, the force due to the pressure of the liquid and the force due to viscosity of the liquid

4 The force due to gravity and the force due to viscosity of the liquid

Ans.
(4)

The forces acting besides buoyancy force which is the force due to pressure of the liquid are

(i) Force of gravity (vertically downwards)

(ii) Viscous force (vertically downwards)

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