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If the diameter of a capillary tube is doubled, the capillary rise will be :
- a)unaffected
- b)doubled
- c)halved
- d)none of the above
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If the diameter of a capillary tube is doubled, the capillary rise wi...
The radius of a capillary tube is inversely proportional to the height of the liquid column. So, if the radius of the tube is doubled, the rise of the level of water will become half of the previous rise in the capillary tube.
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If the diameter of a capillary tube is doubled, the capillary rise wi...
Explanation:
When a capillary tube is immersed in a liquid, the liquid rises inside the capillary due to capillary action. The height to which the liquid rises is known as the capillary rise. It is influenced by several factors, including the diameter of the capillary tube.
Capillary Action:
Capillary action is the ability of a liquid to flow in narrow spaces against the force of gravity. It occurs due to the adhesive and cohesive forces between the liquid molecules and the walls of the capillary tube.
Effect of Diameter on Capillary Action:
The capillary rise is inversely proportional to the diameter of the capillary tube. In other words, as the diameter of the capillary tube increases, the capillary rise decreases, and vice versa.
Reasoning:
When the diameter of a capillary tube is doubled, it means that the new diameter is twice the original diameter. Let's assume the original capillary rise is h.
- The capillary rise is inversely proportional to the diameter.
- If the diameter is doubled, the capillary rise will be halved.
- Therefore, the correct answer is option 'C' - halved.
Example:
For example, let's assume the original capillary rise is 10 cm. If the diameter of the capillary tube is doubled, the new capillary rise would be 5 cm.
Summary:
When the diameter of a capillary tube is doubled, the capillary rise is halved. This is because capillary action is inversely proportional to the diameter of the capillary tube.
When a capillary tube is immersed in a liquid, the liquid rises inside the capillary due to capillary action. The height to which the liquid rises is known as the capillary rise. It is influenced by several factors, including the diameter of the capillary tube.
Capillary Action:
Capillary action is the ability of a liquid to flow in narrow spaces against the force of gravity. It occurs due to the adhesive and cohesive forces between the liquid molecules and the walls of the capillary tube.
Effect of Diameter on Capillary Action:
The capillary rise is inversely proportional to the diameter of the capillary tube. In other words, as the diameter of the capillary tube increases, the capillary rise decreases, and vice versa.
Reasoning:
When the diameter of a capillary tube is doubled, it means that the new diameter is twice the original diameter. Let's assume the original capillary rise is h.
- The capillary rise is inversely proportional to the diameter.
- If the diameter is doubled, the capillary rise will be halved.
- Therefore, the correct answer is option 'C' - halved.
Example:
For example, let's assume the original capillary rise is 10 cm. If the diameter of the capillary tube is doubled, the new capillary rise would be 5 cm.
Summary:
When the diameter of a capillary tube is doubled, the capillary rise is halved. This is because capillary action is inversely proportional to the diameter of the capillary tube.
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If the diameter of a capillary tube is doubled, the capillary rise will be :a)unaffectedb)doubledc)halvedd)none of the aboveCorrect answer is option 'C'. Can you explain this answer?
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