Hydrostatics, find length of kerosene column in U tube

AI Thread Summary
A U-shaped glass tube contains water at 12 cm on both sides, and kerosene is added to one side, causing the water level on the other side to rise by 5 cm. The density of kerosene is 870 kg/m3, and the relationship between the heights of the fluids is expressed through the equation (ρhg)1 = (ρhg)2. The initial calculations suggested a kerosene height of 19.5 cm, but the textbook answer is 11.5 cm. Clarification is needed on whether one side contains only water and the other only kerosene, as this affects the pressure calculations at the bottom of the tube. Accurate pressure determination requires considering the heights of both fluids on each side of the tube.
Ishraq Begum
Messages
13
Reaction score
3

Homework Statement


A glass tube is bent into a U shape. Water is poured into the tube until it sands 12 cm high on each side. Kerosene (density = 870 kg/m3) is added slowly to one side until water on the other side raises 5 cm. What is the length of kerosene column?

Homework Equations


(ρhg)1 = (ρhg)2

The Attempt at a Solution


Taking h1 = 17 cm
then h2 = (17 ⋅ 1000) / 870
so, h2 = 19.5
but the answer in the textbook is given as 11.5
 
Physics news on Phys.org
In the end, is one side purely water and the other purely kerosene? Make a sketch.
 
  • Like
Likes Ishraq Begum
gneill said:
In the end, is one side purely water and the other purely kerosene? Make a sketch.
https://ibb.co/iVWqXR
It is something like this.
 
Ishraq Begum said:
https://ibb.co/iVWqXR
upload_2018-1-12_10-43-17.png

It is something like this.
Okay, and do your calculations reflect that scenario?
 

Attachments

  • upload_2018-1-12_10-43-17.png
    upload_2018-1-12_10-43-17.png
    7.4 KB · Views: 400
There are 17 cm of water on one side, and only 7 cm of water on the other side, with h cm of kerosene above the water on that side. What is the pressure at the bottom, as determined by the heights of the fluids on the two sides sides?
 

Thread 'Rolling without slipping on a curved surface'

Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
View full post »

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »

Similar threads

Hydrostatics, Length of a mercury column
Replies
1
Views
2K
Hydrostatics - Benzene poured into uniform U shaped tube with water
Replies
8
Views
4K
Fluid Statics- u-tube displacement
Replies
2
Views
6K
Pressure-related problem with Mercury and Water in a U-tube
Replies
18
Views
6K
Fluids question: U Shaped Tube.
Replies
2
Views
4K
U-Tube (Pv=nRT, Pascals) Problem
Replies
15
Views
2K
Pressure measurement in U tube with mercury and water
Replies
3
Views
3K
Finding the Height of a Heavy Oil Column in a U-Tube with Mercury and Light Oil
Replies
1
Views
2K
What is the effect of applied pressure on a partially filled U-shaped tube?
Replies
1
Views
2K
Hydrostatics: U-Tube Homework Solution
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top