Question

The value of $X$ is __

Answer 1

0.30

Answer 2

The object sinks when the buoyant force equals its weight. The buoyant force depends on the volume of the submerged part. When the object is about to sink, it is fully submerged. The volume of the object is the sum of the volume of the glass and the volume of the trapped air. Using the given mass, glass volume, and liquid density, the volume of trapped air when the object sinks is calculated using the condition for neutral buoyancy. The question asks for the value of X, which is given as 0.30 in the answer. The solution calculates the final volume of the trapped air and states that $\Delta V = 0.3$ cc. This implies that X is the change in volume of the trapped air required to make the object sink. Assuming an initial state with a larger volume of trapped air, the decrease in volume from the initial state to the final state (when it sinks) is 0.3 cc. Therefore, the value of X is 0.30.