Is the Answer Correct? Dipping a Cylinder w/ Small Hole in Liquid

In summary, the conversation discusses the maximum depth that an empty cylindrical vessel with a small circular hole can be dipped into a liquid of density d and surface tension S. The given answer for this depth is √(2S/rdg), but there is some disagreement about whether the square root should be included in the calculation.
  • #1
dk_ch
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An empty cylindrical vessel with a small circular hole of radius r at the bottom is dipped vertically in a liquid of density d keeping the bottom downward. At what maximum depth can it be dipped before the liquid enters into it? The surface tension of the liquid is S. The answer given in the text is √(2S/rdg). Is the answer correct?
 
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  • #2
dk_ch said:
An empty cylindrical vessel with a small circular hole of radius r at the bottom is dipped vertically in a liquid of density d keeping the bottom downward. At what maximum depth can it be dipped before the liquid enters into it? The surface tension of the liquid is S. The answer given in the text is √(2S/rdg). Is the answer correct?


It seems correct to me.
 
  • #3
sankalpmittal said:
It seems correct to me.

Sir will u please explain How?
How does square root arise here?
 
  • #4
dk_ch said:
Sir will u please explain How?
How does square root arise here?


Square root. Then it is wrong. Please check the dimensions. Dimensions are consistent if there were no square root.
 
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  • #5


Based on the information provided, the answer given in the text appears to be correct. The maximum depth that the cylinder can be dipped before the liquid enters into it would depend on the balance between the gravitational force and the surface tension force. This can be calculated using the formula √(2S/rdg), where S is the surface tension, r is the radius of the hole, d is the density of the liquid, and g is the acceleration due to gravity. It is important to note that this answer assumes ideal conditions and may vary in real-world situations. Further experimentation and analysis may be needed to confirm the accuracy of this answer.
 

Related to Is the Answer Correct? Dipping a Cylinder w/ Small Hole in Liquid

What is the purpose of dipping a cylinder with a small hole in liquid?

The purpose of this experiment is to determine the accuracy of the volume measurements of the cylinder when submerged in liquid.

How do you perform this experiment?

To perform this experiment, fill a container with liquid and place a cylinder with a small hole in it inside the container. Make sure the cylinder is completely submerged in the liquid. Record the volume of liquid that enters the cylinder through the small hole and compare it to the known volume of the cylinder.

What factors can affect the accuracy of this experiment?

The accuracy of this experiment can be affected by the type of liquid used, the temperature of the liquid, and the size and placement of the small hole on the cylinder.

What are the potential sources of error in this experiment?

Potential sources of error in this experiment include human error in reading the volume measurements, errors in the known volume of the cylinder, and variations in the temperature and density of the liquid.

How can the accuracy of this experiment be improved?

The accuracy of this experiment can be improved by using a smaller and more precise measuring device, using a liquid with a known and consistent density, and repeating the experiment multiple times to reduce the effects of human error.

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