A small spherical monoatomic ideal gas bubble `(gamma = 5/3)` is trapped inside a liquid of density `rho_l` (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).

When the gas bubble is at a height y from the bottom, its temperature is :

Options

A. Only the force of gravity
B. The force due to gravity and the force due to the pressure of the liquid
C. The force due to gravity, the force due to the pressure of the liquid and the force due to viscosity of the liquid
D. The force due to gravity and the force due to viscosity of the liquid

Answer

D

Explanation

Options (B) & (C) are wrong because the buoyancy force already includes force due to pressure of liquid. Hence only viscosity & gravity apply force.