Passage - II : A small spherical monoatomic ideal gas bubble ( gamma- (5)/( 3) ) is trapped inside a liquid of density rho_1 [ 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 rho_0 ( Neglect surface tension) The buoyancy force acting on the gas bubble is :

Passage - II : A small spherical monoatomic ideal gas bubble ( gamma-

1.	Passage - II : A small spherical monoatomic ideal gas bubble ( gamma- (5)/( 3) ) is trapped inside a liquid of density rho_1 [ 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 rho_0 ( Neglect surface tension) The buoyancy force acting on the gas bubble is :
Answer» `rho_(1) nRgT_(0) ((p_(0) + rho_(1) gH)^(2//5) )/( (p_(0) + rho_(1) gH)^(2//5) )` `(p_(1) nRg T_0)/( (p_(0) + rho_(1) gH)^(2//5) [p_(0) + rho_(1) G(H-y) ] ^(3//5) ` `rho_(1) N R g T_(0) ((p_(0) + rho_(1) gH)^(3//5) )/( (p_(0)+ rho_(1) gy)^(8//5) )` `(rho_(1) n Rg T_0)/( (p_(0) + rho_(1) g H)^(3//5) [p_(0) + rho_(1) g(H -y) ]^(2//5))` Answer :B