What happens to the float of a hydrometer in a liquid with lower density?

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A hydrometer is an instrument used to measure the density of liquids. It works on the principle of buoyancy, which states that an object partially submerged in a fluid experiences an upward force equal to the weight of the fluid it displaces. When a hydrometer is placed in a liquid, its float will displace a volume of the liquid based on the liquid's density.

In a liquid with lower density, the buoyant force acting on the hydrometer is less than it would be in a denser liquid. Therefore, for the hydrometer to balance out the forces acting on it, it needs to displace more of the liquid. This results in the hydrometer floating higher in the liquid. The float rises until the weight of the hydrometer equals the weight of the liquid that has been displaced. Since the liquid is less dense, the hydrometer must rise further to achieve this balance compared to how it would behave in a denser liquid. Thus, the float of the hydrometer will indeed float higher in a liquid of lower density.

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