JAMB 2020 Physics · Question 27

A hydrometer is an instrument for measuring the

Options

  1. A.a depth of water of water in a vessel
  2. B.relative density of a liquid by the method of flotation
  3. C.relative density of a liquid by finding the apparent loss in weight
  4. D.relative humidity of the air

Answer: B. relative density of a liquid by the method of flotation

Explanation written with AI and checked against the answer key

Analysis of the Question

The question asks for the specific function of a hydrometer. To answer this, we need to understand the principle of flotation and how it relates to the density of liquids.

Concept Explanation

A hydrometer is a glass instrument used to measure the relative density (or specific gravity) of liquids.

  1. Principle of Flotation: The hydrometer works based on Archimedes' principle. When placed in a liquid, it sinks until the weight of the liquid it displaces is equal to its own weight.
  2. How it works: • In a denser liquid, the hydrometer will float higher because it needs to displace less volume of the liquid to equal its own weight. • In a less dense liquid, the hydrometer will sink deeper.
  3. Calibration: The stem of the hydrometer is graduated with a scale. By observing the level at which the liquid surface touches the stem, you can directly read the relative density of the liquid.
Step-by-Step Evaluation of Options
  • A (Depth of water): This is incorrect. Instruments like a sounding line or a pressure gauge are used for depth.
  • B (Relative density by flotation): This is correct. As explained above, the hydrometer relies on the principle of flotation to determine how dense a liquid is relative to water.
  • C (Relative density by apparent loss in weight): This is incorrect. This method describes the use of a density bottle or a Nicholson’s hydrometer (which is different from the standard glass hydrometer) using a balance to measure weight loss.
  • D (Relative humidity): This is incorrect. Relative humidity is measured using a hygrometer.
Conclusion

The hydrometer is specifically designed to measure the relative density of liquids by observing how high or low it floats in the liquid.

Exam Tip: Always distinguish between a hydrometer (for liquid density) and a hygrometer (for atmospheric humidity). They sound similar, but they measure completely different physical properties!

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