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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.