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(B) The buoyant force $F_B$ acting on an object submerged in a fluid is given by Archimedes' principle: $F_B = \rho_{water} V_{displaced} g$, where $\

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decreases

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(B) The buoyant force $F_B$ acting on an object submerged in a fluid is given by Archimedes' principle: $F_B = ho_{water} V_{displaced} g$, where $ho_{water}$ is the density of water, $V_{displaced}$ is the volume of the fluid displaced by the object, and $g$ is the acceleration due to gravity.As the jar is pushed deeper into the water, the hydrostatic pressure at the depth of the jar increases.According to Boyle's Law $(PV = 	ext{constant})$, as the pressure $P$ on the trapped air increases, the volume $V$ of the trapped air decreases.Since the jar is submerged, the total volume of the system displaced $(V_{displaced})$ is the sum of the volume of the glass jar itself and the volume of the trapped air.As the volume of the trapped air decreases, the total volume of the system displaced $(V_{displaced})$ decreases.Consequently, the buoyant force $F_B = ho_{water} V_{displaced} g$ decreases.

An empty glass jar is submerged in a tank of water with the open mouth of the jar downwards, so that the air inside the jar is trapped and cannot escape. As the jar is pushed down slowly, the magnitude of the net buoyant force on the system of the volume of gas trapped in the jar and the jar:

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