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Archimedes’ Principle – Long Answer Questions (CBSE Class 10 Science – Physics)


Medium Level (Application & Explanation)


Q1. State Archimedes’ Principle and explain it with daily-life examples.

Answer:

  • Archimedes’ Principle says an object in a fluid feels an upward buoyant force equal to the weight of the fluid displaced.
  • This upthrust acts opposite to the object’s weight.
  • If buoyant force is greater than the weight, the object floats; if it is less, the object sinks.
  • A ship floats because its shape makes it displace enough water to balance its weight.
  • A balloon rises in air because it displaces air and gets an upthrust from the air.
  • Even a person floating in a swimming pool experiences this upward buoyant force.
  • Thus, the principle applies to all fluids (liquids and gases) in the same way.

Q2. Use the cork and iron nail activity to explain floating and sinking.

Answer:

  • A cork and an iron nail of equal mass are placed on water.
  • The cork floats, while the nail sinks.
  • The cork has lower density and larger volume for the same mass.
  • It displaces more water, and that water’s weight equals the cork’s weight.
  • The buoyant force balances its weight, so it floats.
  • The iron nail is denser and small in volume, so it displaces less water.
  • The buoyant force is not enough to balance its weight, so it sinks.

Q3. Explain how a steel ship can float even though steel is denser than water.

Answer:

  • A solid block of steel would sink because it displaces little water compared to its weight.
  • A ship is hollow and has a large volume, including air spaces.
  • This shape makes it displace a large volume of water.
  • The weight of displaced water becomes equal to the ship’s weight at the waterline.
  • Then the buoyant force balances the weight, and the ship floats.
  • Designers adjust the shape and volume to ensure safe stability.
  • This is a direct use of Archimedes’ Principle in engineering.

Q4. Describe how a hydrometer and a lactometer work using Archimedes’ Principle.

Answer:

  • A hydrometer floats in a liquid and sinks more or less depending on the liquid’s density.
  • In a denser liquid, it displaces the needed weight with less depth, so it floats higher.
  • In a less dense liquid, it needs to sink deeper to displace the same weight.
  • A lactometer uses the same idea to check the purity of milk.
  • Pure milk has a different density than diluted milk, so the reading changes.
  • Both instruments rely on buoyant force = weight of displaced liquid.
  • The scale on the stem shows the density or related value.

Q5. How can Archimedes’ Principle help test if a gold crown is pure?

Answer:

  • Measure the crown’s weight in air using a balance.
  • Immerse it in water and measure the apparent loss in weight (this is the buoyant force).
  • That loss equals the weight of water displaced by the crown.
  • From the displaced water, find the volume of the crown.
  • Use mass and volume to get density and compare with pure gold density.
  • If densities differ, the crown is not pure.
  • This is the famous “Eureka” application of Archimedes’ idea.

High Complexity (Analysis & Scenario-Based)


Q6. Two objects of the same weight, one wood and one iron, are gently placed in water. Predict what happens and explain why.

Answer:

  • Both have the same weight, but their densities and volumes differ.
  • The wood has lower density, so for the same weight it has larger volume.
  • It displaces more water and gets a larger buoyant force, so it floats.
  • The iron has higher density and smaller volume for the same weight.
  • It displaces less water, so the buoyant force is less than its weight, and it sinks.
  • The key idea is the link between volume, displaced water, and upthrust.
  • Thus, density, not just weight, decides floating or sinking.

Q7. A submarine must dive and then rise back to the surface. Explain how it uses Archimedes’ Principle to do both.

Answer:

  • A submarine controls its overall density by adjusting ballast tanks.
  • To dive, it fills tanks with water, increases density, and reduces buoyant force compared to weight.
  • It then sinks when weight becomes greater than the buoyant force.
  • To rise, it blows air into the tanks, forcing water out, and decreases density.
  • Now it displaces enough water to make the buoyant force equal to or greater than its weight.
  • This careful control of displaced volume and upthrust is pure Archimedes.
  • Stability and safety depend on precise tank control.

Q8. A hydrometer floats higher in salty seawater than in freshwater. Analyze this observation using buoyancy ideas.

Answer:

  • Seawater has higher density than freshwater.
  • The hydrometer needs to displace a fixed weight of liquid to float.
  • In denser seawater, it displaces that weight with a smaller volume.
  • So it sinks less and floats higher in seawater.
  • In freshwater, it must sink deeper to displace the same weight.
  • The level of float directly shows the liquid’s density.
  • This is the working basis of hydrometers.

Q9. An object floats in water with most of it submerged. Predict its floating level in oil and explain your reasoning.

Answer:

  • Floating level depends on the density of the fluid and object’s density.
  • If the oil is less dense than water, the buoyant force for the same submerged volume is smaller.
  • To balance its weight, the object must sink deeper in oil to displace more volume.
  • So it will float with more of it submerged in oil than in water.
  • If the fluid were denser than water, it would float higher.
  • The rule is: higher fluid density means less depth of immersion.
  • This follows straight from Archimedes’ Principle.

Q10. A shopkeeper suspects milk is diluted. Design a simple test using buoyancy to check purity and justify your steps.

Answer:

  • Use a lactometer or a simple hydrometer based on buoyancy.
  • Pour the milk in a tall cylinder and gently lower the instrument.
  • Note how deep it sinks and read the scale.
  • Pure milk has a typical range of density; diluted milk (with water) has lower density.
  • Lower density makes the instrument sink deeper, showing adulteration.
  • The reading is due to weight of displaced milk balancing the instrument’s weight.
  • Thus, density change detected by buoyant force reveals the purity.

Remember: Key words to link in your mind are buoyant force, displaced fluid, density, float, sink, volume, and weight.