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A 20 cm long capillary tube is dipped in water. The water rises up to 8 cm. If the entire arrangement is put in a freely falling elevator the length of water column in the capillary tube will be
- a)10 cm
- b)8 cm
- c)20 cm
- d)4 cm
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A 20 cm long capillary tube is dipped in water. The water rises up to ...
Water fills the tube entirely in gravity less condition i.e., 20 cm.
Most Upvoted Answer
A 20 cm long capillary tube is dipped in water. The water rises up to ...
Given:
- Length of capillary tube = 20 cm
- Height of water column in the capillary tube = 8 cm
To find:
- Length of water column in the capillary tube when put in a freely falling elevator
Solution:
When the capillary tube is dipped in water, the water rises up in the tube due to capillary action. This happens because of the adhesive and cohesive forces between the water molecules and the glass walls of the tube. The water rises until the weight of the water column is balanced by the capillary force.
In a freely falling elevator, the acceleration due to gravity is zero. This means that the weight of the water column is also zero. As a result, the capillary force is the only force acting on the water column.
The capillary force can be calculated using the equation:
F = 2πrγcosθ
Where:
- F is the capillary force
- r is the radius of the capillary tube
- γ is the surface tension of the liquid
- θ is the contact angle between the liquid and the tube
Since the radius and the surface tension of the liquid remain constant, the capillary force is also constant. Therefore, the length of the water column in the capillary tube will remain the same even in a freely falling elevator.
Conclusion:
The length of the water column in the capillary tube will be 20 cm, which is option (c).
- Length of capillary tube = 20 cm
- Height of water column in the capillary tube = 8 cm
To find:
- Length of water column in the capillary tube when put in a freely falling elevator
Solution:
When the capillary tube is dipped in water, the water rises up in the tube due to capillary action. This happens because of the adhesive and cohesive forces between the water molecules and the glass walls of the tube. The water rises until the weight of the water column is balanced by the capillary force.
In a freely falling elevator, the acceleration due to gravity is zero. This means that the weight of the water column is also zero. As a result, the capillary force is the only force acting on the water column.
The capillary force can be calculated using the equation:
F = 2πrγcosθ
Where:
- F is the capillary force
- r is the radius of the capillary tube
- γ is the surface tension of the liquid
- θ is the contact angle between the liquid and the tube
Since the radius and the surface tension of the liquid remain constant, the capillary force is also constant. Therefore, the length of the water column in the capillary tube will remain the same even in a freely falling elevator.
Conclusion:
The length of the water column in the capillary tube will be 20 cm, which is option (c).
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A 20 cm long capillary tube is dipped in water. The water rises up to 8 cm. If the entire arrangement is put in a freely falling elevator the length of water column in the capillary tube will bea)10 cmb)8 cmc)20 cmd)4 cmCorrect answer is option 'C'. Can you explain this answer?
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