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A bucket of water hangs with a spring balance. if an iron piece issuspended into water from another support without touching the sides of the bucket, the spring balance will show
- a)An increased reading
- b)A decreased reading
- c)No change in reading
- d)Increased or decreased reading depending on the depth of immersion
Correct answer is option 'C'. Can you explain this answer?
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A bucket of water hangs with a spring balance. if an iron piece issusp...
Ans. (c)
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A bucket of water hangs with a spring balance. if an iron piece issusp...
Understanding the Scenario
When a bucket of water is suspended on a spring balance, the balance measures the weight of the bucket along with the water inside it. The addition of an iron piece into the water can affect the reading on the spring balance.
Key Concepts
- Buoyancy: When an object is submerged in a fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced by the object. This principle is governed by Archimedes' principle.
- Weight Measurement: The reading on the spring balance reflects the total weight of the bucket and water combined.
Effect of Immersing the Iron Piece
- When the iron piece is suspended in the water without touching the sides of the bucket, it does not exert any force on the bucket directly.
- The iron piece will displace an amount of water equal to its volume, but this displacement does not change the total weight of the water plus the bucket.
- Force Distribution: The buoyant force acting on the iron piece is countered by the weight of the water displaced, hence the net effect on the system's weight remains unchanged.
Conclusion
- Since the iron piece is not physically resting on the bucket or affecting the water level significantly, the total weight measured by the spring balance will not change.
Therefore, the correct answer is option 'C': No change in reading.
When a bucket of water is suspended on a spring balance, the balance measures the weight of the bucket along with the water inside it. The addition of an iron piece into the water can affect the reading on the spring balance.
Key Concepts
- Buoyancy: When an object is submerged in a fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced by the object. This principle is governed by Archimedes' principle.
- Weight Measurement: The reading on the spring balance reflects the total weight of the bucket and water combined.
Effect of Immersing the Iron Piece
- When the iron piece is suspended in the water without touching the sides of the bucket, it does not exert any force on the bucket directly.
- The iron piece will displace an amount of water equal to its volume, but this displacement does not change the total weight of the water plus the bucket.
- Force Distribution: The buoyant force acting on the iron piece is countered by the weight of the water displaced, hence the net effect on the system's weight remains unchanged.
Conclusion
- Since the iron piece is not physically resting on the bucket or affecting the water level significantly, the total weight measured by the spring balance will not change.
Therefore, the correct answer is option 'C': No change in reading.
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A bucket of water hangs with a spring balance. if an iron piece issuspended into water from another support without touching the sides of the bucket, the spring balance will showa)An increased readingb)A decreased readingc)No change in readingd)Increased or decreased reading depending on the depth of immersionCorrect answer is option 'C'. Can you explain this answer?
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